Answer
The solutions are $x=-17$ or $x=-7.$
Work Step by Step
$|x+12|=5\qquad$....write equivalent equations.
$x+12=5 $ or $ x+12=-5\qquad$....solve each equation separately.
$ x+12=5\qquad$ ...add $-12$ to each side.
$ x+12-12=5-12\qquad$ ...simplify.
$x=-7$
$ x+12=-5\qquad$ ...add $-12$ to each side.
$ x+12-12=-5-12\qquad$ ...simplify.
$x=-17$
