SALT LAKE CITY (AP) — Utah is on its way to becoming the 19th state to ban the discredited practice of conversion therapy in January after state officials formed a proposal that has the support of the influential Church of a Jesus Christ of Latter-day Saints.

Republican Gov. Gary Herbert announced Tuesday night that church leaders back a regulatory rule his office helped craft after legislative efforts for a ban on the therapy failed earlier this year.

The faith known widely as the Mormon church opposed a previous version of the rule because it wanted assurances that church leaders and members...