What does Romans 3:22 mean?

Paul has thoroughly and completely eliminated the possibility that anyone can be made right with God by following the law. Simply put, absolutely nobody seeks God sufficiently to earn the label "righteous" (Romans 3:10). That means all people, Jew and Gentile, deserve the wrath of God for sin. Having said that, and making it clear that no person has any hope of heaven by their own efforts, Paul has suddenly thrown open the door to another way to be made righteous. To be made righteous before God is the only way to be saved from God's wrath.

Paul sums up very clearly that the righteousness of God is available to humans through faith in Jesus Christ for all who believe. How is this possible? Paul will go on to show that only Jesus ever kept the law perfectly. He then died for the sins of all of us lawbreakers. When we place our faith in Jesus, God gives us credit for His righteousness and receives Jesus' payment of His own death for our sin.

The verse ends with the beginning of a new thought: "There is no distinction." Paul means that there is no difference between any groups of human beings. He will say in the next verse that all have sinned and fall short of God's glory. This includes every kind of people group: Jews, Gentiles, men, women, the oppressed, the oppressors, those who do good works and those who do not. Everyone sins, and none of us earn God's glory.