Article of Faith 2

We believe that men will be punished for their own sins, and not for Adam's transgression.
Article of Faith 2

This is taken from the CES Manual for the Pearl of Great Price discussing Article of Faith 2.

Elder James E. Faust, then a member of the Quorum of the Twelve Apostles, explained:

“Because of their transgression, Adam and Eve, having chosen to leave their state of innocence (see 2 Nephi 2:23–25), were banished from the presence of God. This is referred to in Christendom as the Fall, or Adam’s transgression. It is a spiritual death because Adam and Eve were separated from the presence of God and given agency ‘to act for themselves and not to be acted upon’ (2 Nephi 2:26). They were also given the great power of procreation, so that they could keep the commandment to ‘multiply, and replenish the earth’ and have joy in their posterity (Genesis 1:28).

“All of their posterity were likewise banished from the presence of God (see 2 Nephi 2:22–26). However, the posterity of Adam and Eve were innocent of the original sin because they had no part in it. It was therefore unfair for all of humanity to suffer eternally for the transgressions of our first parents, Adam and Eve. It became necessary to settle this injustice; hence the need for the atoning sacrifice of Jesus in His role as the Savior and Redeemer. Because of the transcendent act of the Atonement, it is possible for every soul to obtain forgiveness of sins, to have them washed away and be forgotten” (in Conference Report, Oct. 1988, 13–14; or Ensign, Nov. 1988, 12).