When tempted, giving over to [willful] sin equates to eternal death, not Eternal Life. Eternal life is reserved for those who overcome. Adam & Eve surrendered to sin in their time of temptation, and it resulted in death. God drove them out of Paradise because sin equates to death. Sadly, the churches today are not equipping the people to become Soldiers of the Cross, i.e., overcomers, but rather to sympathize with their flesh; it's a doctrine of men, inspired by satan.
Romans 6
[22] But now being made free from sin, and become servants to God, ye have your fruit unto holiness, and the end everlasting life.
[23] For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord.
Have you received this gift of God? Or, do you still give into the works of the flesh?
Galatians 5
[19] Now the works of the flesh are manifest, which are these; Adultery, fornication, uncleanness, lasciviousness,
[20] Idolatry, witchcraft, hatred, variance, emulations, wrath, strife, seditions, heresies,
[21] Envyings, murders, drunkenness, revellings, and such like: of the which I tell you before, as I have also told you in time past, that they which do such things shall not inherit the kingdom of God.