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

Answer:

x = -3    or             x = -11

Step-by-step 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