Answer
x=−5 or x=1
Work Step by Step
3|x+2|+4=13⟶ subtract 4 from each side
3|x+2|+4−4=13−4⟶ subtract
3|x+2|=9⟶ divide each side by 3
3|x+2|÷3=9÷3⟶ divide
|x+2|=3⟶ definition of absolute value
x+2=−3 or x+2=3⟶ subtract 2 from each part
x+2−2=−3−2 or x+2−2=3−2⟶ subtract
x=−5 or x=1