Question

Solve for x: −3|x + 7| = −12 (2 points)

x = 5 over 3 , x = − 19 over 3

x = −3, x = −11

x = −3, x = 11

No solution

Answer 1

`x = - 3 \: \: and \: \: x = - 11`

Explanation:

`- 3 |x + 7| = - 12 \\ |x + 7| = ( - 12) / ( - 3) \\ |x + 7| = 4 \\ 1. \: x + 7 = 4 \: \: \: 2. \: x + 7 = - 4 \\ \: \: \: \: x = 4 - 7 \: \: \: \: \: \: \: \: x = - 4 - 7 \\ \: \: \: \: x = - 3 \: \: \: \: \: \: \: \: \: \: \: \: x = - 11`