Question

Solve for x: −3| 2x + 6| = −12

Answer 1

6x+18=-12
6x=-12 + -18
6x=30
x=5

Answer 2

`Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0 \\\\ -3|2x+6|=-12\\ -3(2x+6)=-12\ \ \ or\ \ \ -3(-2x-6)=-12\\ -6x-18=-12\ \ \ or\ \ \ 6x+18=-12\\ -6x=6\ \ \ or\ \ \ 6x=-30\\ x=-1\ \ \ or \ \ \ x=-5\\\\Solutions\ are\ -1 and\ -5.`