Disclaimer: I believe Peter preached only one gospel but some may apply his words in Acts 2:38 to mean otherwise in spite of the same gospel Peter preached in Acts 10:43-48.
Let us examine the one gospel that this same Peter preached to the Gentiles.
Acts 10:43 To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins. 44 While Peter yet spake these words, the Holy Ghost fell on all them which heard the word. 45 And they of the circumcision which believed were astonished, as many as came with Peter, because that on the Gentiles also was poured out the gift of the Holy Ghost. 46 For they heard them speak with tongues, and magnify God. Then answered Peter, 47 Can any man forbid water, that these should not be baptized, which have received the Holy Ghost as well as we? 48 And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.
Peter preached that whoever believes in Jesus Christ shall receive the remission of sins, and as a result. those that heard the word, believed, and got born again of the Spirit. Note how they were saved before water baptism. Also note how they had received the remission of sins by believing in Jesus Christ.
Now to the same gospel Peter had preached to the Jews of Acts 2:38, but in context of Acts 2:36-39.
Acts 2:36 Therefore let all the house of Israel know assuredly, that God hath made the same Jesus, whom ye have crucified, both Lord and Christ. 37 Now when they heard this, they were pricked in their heart, and said unto Peter and to the rest of the apostles, Men and brethren, what shall we do? 38 Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost. 39 For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call.
Now in context, Peter just informed the Jews that God had made that same Jesus, both Lord & Christ, Whom they had crucified "in unbelief". It is on this truth that they were pricked in their hearts, asking Peter, "What shall we do?" So when Peter said "Repent", it is in regards to them having crucified Jesus in unbelief and so to repent here is by believing in Jesus Christ for how they got that same remission of sins & the gift of the Holy Ghost at their salvation.
It is because Acts 2:38 has been taken out of context so much that errant teachings has come about like:
Error #1 You have to be water baptized to get that remission of sins.
There is only one gospel and this same Peter preached the same one gospel to both the Gentiles & the Jews.
Error #2 You cannot get the Holy Ghost without being water baptized first.
In that same gospel Peter had preached to the Gentiles, they had received the Holy Ghost before water baptism.
Error #3 You have to repent from all sins before coming to & believing in Jesus Christ
In the same gospel preached to the Gentiles, Peter had not used the word "Repent" but to believe in Jesus Christ for the Gentile believers to receive the remission of sins.
Now saved, with Jesus Christ in us, we can look to the author & finisher of our faith daily to help us lay aside every weight & sin daily in walking in the light in fellowship with the Father & the Son.
Discipleship is separate from salvation because we need Him in us to look to Jesus Christ for help in following Him as that is how we are to run that race; by faith in Jesus Christ.
Sinners that walk away from that apostate altar call to repent from all sins before coming to Jesus Christ need to be informed that Jesus Christ also came to deliver them from their sins so they no longer have to live in them. Jesus Christ is more than just hope for eternal life in being saved from hell, but to help us live the abundant life with God, of sin not having dominion over our lives any more.
1 John 3:1Behold, what manner of love the Father hath bestowed upon us, that we should be called the sons of God: therefore the world knoweth us not, because it knew him not. 2 Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is. 3 And every man that hath this hope in him purifieth himself, even as he is pure...... 8 He that committeth sin is of the devil; for the devil sinneth from the beginning. For this purpose the Son of God was manifested, that he might destroy the works of the devil.
Philippians 1:6 Being confident of this very thing, that he which hath begun a good work in you will perform it until the day of Jesus Christ:.... 11 Being filled with the fruits of righteousness, which are by Jesus Christ, unto the glory and praise of God.
Galatians 5:1Stand fast therefore in the liberty wherewith Christ hath made us free, and be not entangled again with the yoke of bondage..... 5 For we through the Spirit wait for the hope of righteousness by faith.
2 Timothy 4:18 And the Lord shall deliver me from every evil work, and will preserve me unto his heavenly kingdom: to whom be glory for ever and ever. Amen.
Jude 1:24 Now unto him that is able to keep you from falling, and to present you faultless before the presence of his glory with exceeding joy, 25 To the only wise God our Saviour, be glory and majesty, dominion and power, both now and ever. Amen.
If any one doubts what that gospel is all about, Paul preached the same gospel whereby he was offered the right hand of fellowship with James, Cephas ( Peter ) & John.
Romans 10:8 But what saith it? The word is nigh thee, even in thy mouth, and in thy heart: that is, the word of faith, which we preach; 9 That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved. 10 For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation. 11 For the scripture saith, Whosoever believeth on him shall not be ashamed. 12 For there is no difference between the Jew and the Greek: for the same Lord over all is rich unto all that call upon him. 13 For whosoever shall call upon the name of the Lord shall be saved. 14 How then shall they call on him in whom they have not believed? and how shall they believe in him of whom they have not heard? and how shall they hear without a preacher? 15 And how shall they preach, except they be sent? as it is written, How beautiful are the feet of them that preach the gospel of peace, and bring glad tidings of good things! 16 But they have not all obeyed the gospel. For Esaias saith, Lord, who hath believed our report? 17 So then faith cometh by hearing, and hearing by the word of God.
1 Corinthians 1:17 For Christ sent me not to baptize, but to preach the gospel: not with wisdom of words, lest the cross of Christ should be made of none effect. 18 For the preaching of the cross is to them that perish foolishness; but unto us which are saved it is the power of God....... 21 For after that in the wisdom of God the world by wisdom knew not God, it pleased God by the foolishness of preaching to save them that believe.
Galatians 1:6 I marvel that ye are so soon removed from him that called you into the grace of Christ unto another gospel: 7 Which is not another; but there be some that trouble you, and would pervert the gospel of Christ.
Galatians 2:7 But contrariwise, when they saw that the gospel of the uncircumcision was committed unto me, as the gospel of the circumcision was unto Peter; 8 (For he that wrought effectually in Peter to the apostleship of the circumcision, the same was mighty in me toward the Gentiles
9 And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision. 10 Only they would that we should remember the poor; the same which I also was forward to do.
So neither Peter nor Paul preached two different gospel but the same gospel of believing in Jesus Christ is how we are saved in receiving that remission of sins and the promise of the Holy Ghost.
Discipleship can begin with water baptism in His name after salvation, but it is to serve as a public witness at conversion. Lacking water baptism, the saved believer can still follow Jesus Christ by faith which is what discipleship as in running that race in moving unto perfection is really all about in helping us to follow Him daily as we can only live this reconciled relationship with God through Jesus Christ.
Let us examine the one gospel that this same Peter preached to the Gentiles.
Acts 10:43 To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins. 44 While Peter yet spake these words, the Holy Ghost fell on all them which heard the word. 45 And they of the circumcision which believed were astonished, as many as came with Peter, because that on the Gentiles also was poured out the gift of the Holy Ghost. 46 For they heard them speak with tongues, and magnify God. Then answered Peter, 47 Can any man forbid water, that these should not be baptized, which have received the Holy Ghost as well as we? 48 And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.
Peter preached that whoever believes in Jesus Christ shall receive the remission of sins, and as a result. those that heard the word, believed, and got born again of the Spirit. Note how they were saved before water baptism. Also note how they had received the remission of sins by believing in Jesus Christ.
Now to the same gospel Peter had preached to the Jews of Acts 2:38, but in context of Acts 2:36-39.
Acts 2:36 Therefore let all the house of Israel know assuredly, that God hath made the same Jesus, whom ye have crucified, both Lord and Christ. 37 Now when they heard this, they were pricked in their heart, and said unto Peter and to the rest of the apostles, Men and brethren, what shall we do? 38 Then Peter said unto them, Repent, and be baptized every one of you in the name of Jesus Christ for the remission of sins, and ye shall receive the gift of the Holy Ghost. 39 For the promise is unto you, and to your children, and to all that are afar off, even as many as the Lord our God shall call.
Now in context, Peter just informed the Jews that God had made that same Jesus, both Lord & Christ, Whom they had crucified "in unbelief". It is on this truth that they were pricked in their hearts, asking Peter, "What shall we do?" So when Peter said "Repent", it is in regards to them having crucified Jesus in unbelief and so to repent here is by believing in Jesus Christ for how they got that same remission of sins & the gift of the Holy Ghost at their salvation.
It is because Acts 2:38 has been taken out of context so much that errant teachings has come about like:
Error #1 You have to be water baptized to get that remission of sins.
There is only one gospel and this same Peter preached the same one gospel to both the Gentiles & the Jews.
Error #2 You cannot get the Holy Ghost without being water baptized first.
In that same gospel Peter had preached to the Gentiles, they had received the Holy Ghost before water baptism.
Error #3 You have to repent from all sins before coming to & believing in Jesus Christ
In the same gospel preached to the Gentiles, Peter had not used the word "Repent" but to believe in Jesus Christ for the Gentile believers to receive the remission of sins.
Now saved, with Jesus Christ in us, we can look to the author & finisher of our faith daily to help us lay aside every weight & sin daily in walking in the light in fellowship with the Father & the Son.
Discipleship is separate from salvation because we need Him in us to look to Jesus Christ for help in following Him as that is how we are to run that race; by faith in Jesus Christ.
Sinners that walk away from that apostate altar call to repent from all sins before coming to Jesus Christ need to be informed that Jesus Christ also came to deliver them from their sins so they no longer have to live in them. Jesus Christ is more than just hope for eternal life in being saved from hell, but to help us live the abundant life with God, of sin not having dominion over our lives any more.
1 John 3:1Behold, what manner of love the Father hath bestowed upon us, that we should be called the sons of God: therefore the world knoweth us not, because it knew him not. 2 Beloved, now are we the sons of God, and it doth not yet appear what we shall be: but we know that, when he shall appear, we shall be like him; for we shall see him as he is. 3 And every man that hath this hope in him purifieth himself, even as he is pure...... 8 He that committeth sin is of the devil; for the devil sinneth from the beginning. For this purpose the Son of God was manifested, that he might destroy the works of the devil.
Philippians 1:6 Being confident of this very thing, that he which hath begun a good work in you will perform it until the day of Jesus Christ:.... 11 Being filled with the fruits of righteousness, which are by Jesus Christ, unto the glory and praise of God.
Galatians 5:1Stand fast therefore in the liberty wherewith Christ hath made us free, and be not entangled again with the yoke of bondage..... 5 For we through the Spirit wait for the hope of righteousness by faith.
2 Timothy 4:18 And the Lord shall deliver me from every evil work, and will preserve me unto his heavenly kingdom: to whom be glory for ever and ever. Amen.
Jude 1:24 Now unto him that is able to keep you from falling, and to present you faultless before the presence of his glory with exceeding joy, 25 To the only wise God our Saviour, be glory and majesty, dominion and power, both now and ever. Amen.
If any one doubts what that gospel is all about, Paul preached the same gospel whereby he was offered the right hand of fellowship with James, Cephas ( Peter ) & John.
Romans 10:8 But what saith it? The word is nigh thee, even in thy mouth, and in thy heart: that is, the word of faith, which we preach; 9 That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved. 10 For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation. 11 For the scripture saith, Whosoever believeth on him shall not be ashamed. 12 For there is no difference between the Jew and the Greek: for the same Lord over all is rich unto all that call upon him. 13 For whosoever shall call upon the name of the Lord shall be saved. 14 How then shall they call on him in whom they have not believed? and how shall they believe in him of whom they have not heard? and how shall they hear without a preacher? 15 And how shall they preach, except they be sent? as it is written, How beautiful are the feet of them that preach the gospel of peace, and bring glad tidings of good things! 16 But they have not all obeyed the gospel. For Esaias saith, Lord, who hath believed our report? 17 So then faith cometh by hearing, and hearing by the word of God.
1 Corinthians 1:17 For Christ sent me not to baptize, but to preach the gospel: not with wisdom of words, lest the cross of Christ should be made of none effect. 18 For the preaching of the cross is to them that perish foolishness; but unto us which are saved it is the power of God....... 21 For after that in the wisdom of God the world by wisdom knew not God, it pleased God by the foolishness of preaching to save them that believe.
Galatians 1:6 I marvel that ye are so soon removed from him that called you into the grace of Christ unto another gospel: 7 Which is not another; but there be some that trouble you, and would pervert the gospel of Christ.
Galatians 2:7 But contrariwise, when they saw that the gospel of the uncircumcision was committed unto me, as the gospel of the circumcision was unto Peter; 8 (For he that wrought effectually in Peter to the apostleship of the circumcision, the same was mighty in me toward the Gentiles

So neither Peter nor Paul preached two different gospel but the same gospel of believing in Jesus Christ is how we are saved in receiving that remission of sins and the promise of the Holy Ghost.
Discipleship can begin with water baptism in His name after salvation, but it is to serve as a public witness at conversion. Lacking water baptism, the saved believer can still follow Jesus Christ by faith which is what discipleship as in running that race in moving unto perfection is really all about in helping us to follow Him daily as we can only live this reconciled relationship with God through Jesus Christ.