Answer
$x=-5$ or $x=1$
Work Step by Step
$3|x+2|+4=13\longrightarrow$ subtract 4 from each side
$3|x+2|+4-4=13-4\longrightarrow$ subtract
$3|x+2|=9\longrightarrow$ divide each side by 3
$3|x+2|\div3=9\div3\longrightarrow$ divide
$|x+2|=3\longrightarrow$ definition of absolute value
$x+2=-3$ or $x+2=3\longrightarrow$ subtract 2 from each part
$x+2-2=-3-2$ or $x+2-2=3-2\longrightarrow$ subtract
$x=-5$ or $x=1$
