Question

Solve for x: −3|x + 7| = −12

Answer 1

Solve for x: −3|x + 7| = −12

−3|x + 7| = −12

x= -3, -11

Answer 2

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