Therefore being justified by faith, we have peace with God through our Lord Jesus Christ; By whom also we have access by faith into this grace wherein we stand, and rejoice in hope of the glory of God.
For when we were yet without strength in due time Christ died for the ungodly. For scarcely for a righteous man will one die: yet peradventure for a good man some would even dare to die. But God commendeth his love toward us, in that, while we were yet sinners, Christ died for us. Much more then, being now justified by his blood, we shall be saved from wrath through him. For if, when we were enemies, were were reconciled to God by the death of his Son, much more, being reconciled, we shall be saved by his life. And not only so, but we also joy in God through our Lord Jesus Christ, by whom we have now received the atonement. Wherefore, as by one man sin entered into the world, and death by sin; and so death passed upon all men, for that all have sinned: . . . .Nevertheless death reigned from Adam to Moses, even over them that had not sinned after the similitude of Adam's transgression, who is the figure of him that was to come. But not as the offence, so also is the free gift. For if through the offence of one many be dead, much more the grace of God, and the gift by grace, which is by one man, Jesus Christ, hath abounded unto many. And not as it was by one that sinned, so is the gift; for the judgment was by one to condemnation, but the free gift is of many offences unto justification. For if by one man's offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ. Therefore as by the offence of one judgment came upon all men to condemnation; even so by the righteousness of one the free gift came upon all men unto justification of life. For as by one man's disobedience many were made sinners, so by the obedience of one shall many be made righteous.
We were made sinners by one man's disobedience - we are justified and made righteous through faith by one man's obedience. That is our salvation - nothing else gets us saved - only the obedience of Jesus Christ. Once we place our faith in Jesus Christ as Lord - good works will result but we do not have to work for salvation - Jesus died for the ungodly.