Answer:
x = -3 or x = -11
Explanation:
−3|x + 7| = −12
To solve for x we need to get 'x' alone. Here we are given with absolute function. we need to isolate absolute function alone.
Divide both sides by -3
|x+7| = 4
For absolute function we consider two cases, positive and negative
If |x| =a then x=a or x=-a
|x+7| = 4
x+7 = 4 or x+7 = -4
Solve both equations for x. Subtract 7 from both sides
x = -3 or x = -11