What @MatthewG posted in #313 is right.
Jesus did indeed pay the ultimate price for Salvation. Glory to God! Once received, His blood cleanses us from all sin.Nobody is sinless (with one obvious exception). Eternal life is inherited by accepting Jesus Christ as the Savior whose sacrifice paid for all sin. You don't earn salvation by works.
1 John 1
6 If we say that we have fellowship with him, and walk in darkness [sin], we lie, and do not the truth:
7 But if we walk in the light [righteousness and holiness], as he is in the light, we have fellowship one with another, and the blood of Jesus Christ his Son cleanseth us from all sin.
Secondly, being obedient to God's call to righteousness and holiness is not "works", but our reasonable service as heirs to eternal life.
Romans 12
I beseech you therefore, brethren, by the mercies of God, that ye present your bodies a living sacrifice, holy, acceptable unto God, which is your reasonable service.
2 And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God.