I'm not familiar with the Xian adherent context. But here are a few verses on the topic. I'm using the ESV translation of the text.
First Jesus(Jeshua/Yeshua/Eezus) was the sacrifice for our sins, taking the punishment for our sins, and making us perfect in God's sight on the day of judgment. We are no longer responsible to pay, or be judged for the sins we commit.
Hebrews 10:11-18
And every priest stands daily at his service, offering repeatedly the same sacrifices, which can never take away sins. But when Christ[ had offered for all time a single sacrifice for sins, he sat down at the right hand of God, waiting from that time until his enemies should be made a footstool for his feet. For by a single offering he has perfected for all time those who are being sanctified.
And the Holy Spirit also bears witness to us; for after saying,
This is the covenant that I will make with them
after those days, declares the Lord:
I will put my laws on their hearts,
and write them on their minds,”
then he adds,
“I will remember their sins and their lawless deeds no more.”
Where there is forgiveness of these, there is no longer any offering for sin.
However, we are still responsible to live holy, and abstain from sin.
Romans 6:1-2
"What shall we say then? Are we to continue in sin that grace may abound? By no means! How can we who died to sin still live in it? "
Jesus gives us power over sin, through his Holy Spirit, to no longer follow our sinful nature.
Romans 6:17-18
But thanks be to God, that you who were once slaves of sin have become obedient from the heart to the standard of teaching to which you were committed, and, having been set free from sin, have become slaves of righteousness.
Romans 8:9-10
You, however, are not in the flesh but in the Spirit, if in fact the Spirit of God dwells in you. Anyone who does not have the Spirit of Christ does not belong to him. But if Christ is in you, although the body is dead because of sin, the Spirit is life because of righteousness.
You can read Romans chapter 6-8 for a good articulation of this doctrine. Any questions on these scriptures or any clarification, don't hesitate to ask.