In the New Testament, it definitely states there must be a confession of sins as well as repentance. Confession saying you are a sinner and repentance for the the remission for your sins. That word and means two things will take place. Then it says you shall receive the Holy Ghost. This is a promise.
Nothing is said about being baptized.
The reason is, baptism doesn't save your soul. Having faith and believing that Jesus is the truth sent by God, our Heavenly Father, who died and rose again, sitting at the right hand of our Father and interceding for us. In John chapter 1, it clearly states why Jesus came and who He is. In verse 29, he said Lamb of God who takes away the sin of the world. There was never a place in the Bible where it said that Jesus ever baptized any one.