the righteousness of God through faith in Jesus Christ for all who believe. For there is no distinction: (ESV)
The Jews and the Gentiles had one common problem. The Law that they had received was not sufficient to make them right with God. For the Jews the Law given to them by God to Moses let them know what the righteousness of God required, but it did not make them right with God. The Jewish Law simply let them know how they had failed.
The Gentiles were not recipients of God's Law that the Jews had received. However, the Gentiles had on God's Law on their hearts, allowing them to know what was right and wrong. Did any Gentiles choose the right, and fully reject that which was wrong? No! All mankind, Jew and Gentile stands condemned by whichever Law they followed.
Now the righteousness of God through faith in Jesus Christ enters the picture. Everything changes. Jew and Gentile come by only one way to be made right with God. Jesus Christ is the way. He not only fulfilled the Law of God himself, but he did so for the benefit of all who would place their faith in Him.
Jews must come to Jesus Christ and place their faith in him alone to be made right with God. Gentiles must come to Jesus Christ and place their faith in him alone to be made right with God. There is no distinction. No other ways will be accepted. This can be a stumbling block to those who try on their own strength to be made right. But to those who believe, righteousness!
Are you right with God? The only way you can answer yes to that question is if you have your placed your faith in Jesus Christ. The same is true for you and everyone else. No distinction.