Acts 26: 17 Delivering thee from the people, and from the Gentiles, unto whom now I send thee,
18 To open their eyes, and to turn them from darkness to light, and from the power of Satan unto God, that they may receive forgiveness of sins, and inheritance among them which are sanctified by faith that is in me.
Ro 1:17 For therein is the righteousness of God revealed from faith to faith: as it is written, The just shall live by faith.
Ro 3:22 Even the righteousness of God which is by faith of Jesus Christ unto all and upon all them that believe: for there is no difference:
Ro 3:28 Therefore we conclude that a man is justified by faith without the deeds of the law.
Ro 5:1 Therefore being justified by faith, we have peace with God through our Lord Jesus Christ:
Ro 5:2 By whom also we have access by faith into this grace wherein we stand, and rejoice in hope of the glory of God.
Ro 9:32 Wherefore? Because they sought it not by faith, but as it were by the works of the law. For they stumbled at that stumblingstone;
Ro 11:20 Well; because of unbelief they were broken off, and thou standest by faith. Be not highminded, but fear:
Ga 3:11 But that no man is justified by the law in the sight of God, it is evident: for, The just shall live by faith.
Ga 3:22 But the scripture hath concluded all under sin, that the promise by faith of Jesus Christ might be given to them that believe.
Ga 3:24 Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith.
Ga 3:26 For ye are all the children of God by faith in Christ Jesus.
Ga 5:5 For we through the Spirit wait for the hope of righteousness by faith.
.Eph 3:17 That Christ may dwell in your hearts by faith; that ye, being rooted and grounded in love,
Php 3:9 And be found in him, not having mine own righteousness, which is of the law, but that which is through the faith of Christ, the righteousness which is of God by faith:
Did you read that? Paul teaches we are justified "BY" faith as well as "THROUGH" faith - they are snynomous!!
Ro 3:25 Whom God hath set forth to be a propitiation through faith in his blood, to declare his righteousness for the remission of sins that are past, through the forbearance of God;
Ro 3:30 Seeing it is one God, which shall justify the circumcision by faith, and uncircumcision through faith.
Ro 3:31 Do we then make void the law through faith? God forbid: yea, we establish the law.
Ro 4:13 For the promise, that he should be the heir of the world, was not to Abraham, or to his seed, through the law, but through the righteousness of faith.
Eph 2:8 For by grace are ye saved through faith; and that not of yourselves: it is the gift of God:
Php 3:9 And be found in him, not having mine own righteousness, which is of the law, but that which is through the faith of Christ, the righteousness which is of God by faith:
Col 2:12 Buried with him in baptism, wherein also ye are risen with him through the faith of the operation of God, who hath raised him from the dead.
2Ti 3:15 And that from a child thou hast known the holy scriptures, which are able to make thee wise unto salvation through faith which is in Christ Jesus.
So don't tell us that Paul did not teach that justification was "by" faith and that imputed righteousness was "by" faith. Don't tell us that Jews were justified "by" faith and gentiles were justified "through" faith as though they were different!
The differnence between "by" and "through" faith is the difference between the agency and the object of faith. "By" faith is contrasted to "by works" and "through" faith refers to what is the object faith embraces. Both are essential for the same salvation, same gospel before and after the cross. Old Testament saints were saved "by" faith instead of "by" works and they were saved "through" faith which terminated on the object of Christ and his redemptive work. Likewise with the Post-cross saints. Likewise with Jewish versus Gentile saints. The preposition "by" defines faith as the agency in contrast to works. The preposition "through" defines faith as the channel or conduit that terminates on Christ as the object of faith.