I see a series of questions and answers in Chapter 3. I think they are incrementally building towards what Paul is going for:
Paul starts this chapter with the question "what's the advantage of being a Jew?" and he then goes on to answer that with "they were entrusted with the whole revelation of God."
However, just having that revelation and letting that revelation CHANGE them were two different things. A man with a revelation who does not act on it, is no better off than the man with no revelation at all. Sinning is never right, even if it highlights God's holiness. There's a reason he chose to use the church as the main way for reaching the world, and we should be reflecting HIM not our own sin to highlight Him. Doing the works of the law without a faith in the God that law reveals to you is a dead religion. I think this is where Paul begins the balancing act between faith and works of the law. Why is the revelation of God important? Because HE, not the law, was what would actually make the way for salvation by actually taking our sins away and not just showing us how sinful we were.
Our sin is examined in the next question he poses, "should we conclude that Jews are better than others?" He answered with "no, because no one is righteous, Jew or Gentile." Receiving a revelation does not make the receiver better than others, only MORE RESPONSIBLE. I think this goes back to the thought that says "of whom much is given, much is required." The Jews were given the law, and through it, were required to do many things... but these things ultimately worked to their benefit in many ways, and especially if they let it lead them to a faith in God, especially when Jesus came fulfilling that law.
(A side note here, is that Paul keeps bringing up dishonesty and lying in his examples. The first answer is attached to the example of a "dishonest person highlighting the truthfulness of God." The second question is answered with a quote from scripture that says "Their tongues are filled with lies." This reminds me of James 3:2 "Indeed, we all make many mistakes. For if we could control our tongues, we would be perfect and could also control ourselves in every other way." Sin is, again, linked to the tongue... Interesting how The Bible highlights the use of words in different mediums for judgement- but actions for reconciliation. The law, the book of life, the spoken words of the Pharisees- but then mercy triumphs over judgment with Jesus' one action of extreme obedience.)
Then in verse 19 I see some things that give me questions:
19 Obviously, the law applies to those to whom it was given, for its purpose is to keep people from having excuses, and to show that the entire world is guilty before God. 20 For no one can ever be made right with God by doing what the law commands. The law simply shows us how sinful we are.
I see two things here. First, the law was given to the Jews, but it shows the guilt of the entire world. Apparently, then, it applies to Jews, but if it shows the guilt of all, does that mean all will be judged by the law? Didn't Paul say in the previous chapter that those who have the law will be judged by the law but that those without the law will perish? So then, the law doesn't make anyone right, but it judges. It applies to those it was given to, who will be judged by it, and those without it will also be shown guilty by it and perhaps perish. If the point of the law was to teach us how to do things correctly and to show us how sinful we are, but not to save us, would you say that the law is the morality of God, the right and wrong balance that we are given only as a backdrop to help pattern our lives and show us how desperately hopeless we are without something more... and that something more would be the drive we need to get to faith in Jesus?
27 Can we boast, then, that we have done anything to be accepted by God? No, because our acquittal is not based on obeying the law. It is based on faith. 28 So we are made right with God through faith and not by obeying the law.
There is nothing we can do that will compensate for our sin enough for us to be in the presence of a holy God. So here's what I think I see? Works never make us right, but they do make us more wrong? We are born in sin and continue sinning and the law exists to show us how bad we are compared to righteousness so that we can ONLY give credit for our salvation to Jesus.
His next question is:
29 After all, is God the God of the Jews only? Isn’t he also the God of the Gentiles? Of course he is. 30 There is only one God, and he makes people right with himself only by faith, whether they are Jews or Gentiles. Whether you have the law or not, then, you must have faith to be made right... but what initiates in faith then continues on into good works, not to earn salvation, but to please God out of a heart motivated by love for Him. Faith saves, the law guides.
And he continues with:
31 Well then, if we emphasize faith, does this mean that we can forget about the law? Of course not! In fact, only when we have faith do we truly fulfill the law.
The whole point of the law is to lead us into a deeper relationship with Christ, ultimately, but you have to have faith to take the first step. The law proves that we can do NOTHING on our own, and our reliance on Christ, our understanding that we have to completely die to ourselves and live through His Spirit, leaves us not relying on the law for salvation, only on Christ.
The law and faith work together: The law proves that we need Christ, who we only can accept through faith, and then, only through faith will we take the steps to study the law to better understand God's nature and learn discernment and His ideas for morality, right/wrong. Doing those things then shouldn't increase our pride in ourselves, but highlight just how much more we have to live through faith because the law is consistently reminding us of how sinful we are on our own.... and the circle of thought continues wheeling around in this pattern. If I were to draw this out, I would make a circle with arrows pointing at how faith influences the works of the law which then influences faith which then..... I think you get the point of how I see it in my head.