I agree that words have meaning. Let's look at the passages you suggest first, but my personal recommendation would be to start with Genesis 3.
Romans 3:10.
Romans 3:8–20 (NASB95): 8 And why not say (as we are slanderously reported and as some claim that we say), “Let us do evil that good may come”? Their condemnation is just.
9 What then? Are we better than they? Not at all; for we have already charged that both Jews and Greeks are all under sin;
10 as it is written,
“There is none righteous, not even one;
11 There is none who understands,
There is none who seeks for God;
12 All have turned aside, together they have become useless;
There is none who does good,
There is not even one.”
13 “Their throat is an open grave,
With their tongues they keep deceiving,”
“The poison of asps is under their lips”;
14 “Whose mouth is full of cursing and bitterness”;
15 “Their feet are swift to shed blood,
16 Destruction and misery are in their paths,
17 And the path of peace they have not known.”
18 “There is no fear of God before their eyes.”
19 Now we know that whatever the Law says, it speaks to those who are under the Law, so that every mouth may be closed and all the world may become accountable to God;
20 because by the works of the Law no flesh will be justified in His sight; for through the Law comes the knowledge of sin.
This passages reinforces 2 important truths - firsr, those under the Law and those not under the Law stand on level ground - they are unrighteous.
Second, by the works of the Law no flesh will be justified.
Romans 3:23.
Romans 3:21–26 (NASB95): 21 But now apart from the Law the righteousness of God has been manifested, being witnessed by the Law and the Prophets,
22 even the righteousness of God through faith in Jesus Christ for all those who believe; for there is no distinction;
23 for all have sinned and fall short of the glory of God,
24 being justified as a gift by His grace through the redemption which is in Christ Jesus;
25 whom God displayed publicly as a propitiation in His blood through faith. This was to demonstrate His righteousness, because in the forbearance of God He passed over the sins previously committed;
26 for the demonstration, I say, of His righteousness at the present time, so that He would be just and the justifier of the one who has faith in Jesus.
Our redemption is God's righteousness manifested apart from the Law. All have sinned and fall short of God's glory. We are justified through Christ, Whom God displayedpubliclyas a Propitiation in His blood through faith..
Romans 5:8,12.
Romans 5:6–16 (NASB95): 6 For while we were still helpless, at the right time Christ died for the ungodly.
7 For one will hardly die for a righteous man; though perhaps for the good man someone would dare even to die.
8 But God demonstrates His own love toward us, in that while we were yet sinners, Christ died for us.
9 Much more then, having now been justified by His blood, we shall be saved from the wrath of God through Him.
10 For if while we were enemies we were reconciled to God through the death of His Son, much more, having been reconciled, we shall be saved by His life.
11 And not only this, but we also exult in God through our Lord Jesus Christ, through whom we have now received the reconciliation.
12 Therefore, just as through one man sin entered into the world, and death through sin, and so death spread to all men, because all sinned—
13 for until the Law sin was in the world, but sin is not imputed when there is no law.
14 Nevertheless death reigned from Adam until Moses, even over those who had not sinned in the likeness of the offense of Adam, who is a type of Him who was to come.
15 But the free gift is not like the transgression. For if by the transgression of the one the many died, much more did the grace of God and the gift by the grace of the one Man, Jesus Christ, abound to the many.
16 The gift is not like that which came through the one who sinned; for on the one hand the judgment arose from one transgression resulting in condemnation, but on the other hand the free gift arose from many transgressions resulting in justification.
Romans 5:8,12
Romans 5:6–16 (NASB95): 6 For while we were still helpless, at the right time Christ died for the ungodly.
7 For one will hardly die for a righteous man; though perhaps for the good man someone would dare even to die.
8 But God demonstrates His own love toward us, in that while we were yet sinners, Christ died for us.
9 Much more then, having now been justified by His blood, we shall be saved from the wrath of God through Him.
10 For if while we were enemies we were reconciled to God through the death of His Son, much more, having been reconciled, we shall be saved by His life.
11 And not only this, but we also exult in God through our Lord Jesus Christ, through whom we have now received the reconciliation.
12 Therefore, just as through one man sin entered into the world, and death through sin, and so death spread to all men, because all sinned—
13 for until the Law sin was in the world, but sin is not imputed when there is no law.
14 Nevertheless death reigned from Adam until Moses, even over those who had not sinned in the likeness of the offense of Adam, who is a type of Him who was to come.
15 But the free gift is not like the transgression. For if by the transgression of the one the many died, much more did the grace of God and the gift by the grace of the one Man, Jesus Christ, abound to the many.
16 The gift is not like that which came through the one who sinned; for on the one hand the judgment arose from one transgression resulting in condemnation, but on the other hand the free gift arose from many transgressions resulting in justification.
God demonstrated His love for us by sending His Son while we were His enemy.
We are saved by Christ's life.
Sin entered the World through Adam, and death reigned.
Romans 6:23.
Romans 6:22–23 (NASB95): But now having been freed from sin and enslaved to God, you derive your benefit, resulting in sanctification, and the outcome, eternal life.
23 For the wages of sin is death, but the free gift of God is eternal life in Christ Jesus our Lord
We have been freed from sin, and we gain the outcome of sanctification - eternal life.
The wages of sin is death - BUT the gift of God is eternal life in Christ.
That is how I understand those passages.
....but:
