Question

Solve for x: −3|2x + 6| = −12

Answer 1

Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,
 
                            -3(2x + 6) = -12
                                   2x + 6 = 4
                                        2x = -2,     x = -1
Then, let 2x + 6 be negative,
                             -3(-2x - 6) = -12
                                  -2x - 6 = 4
                                        -2x = 10  ;     x = -5
Thus, the answer to this item is letter B. 

Answer 2

$-3|2x + 6| = -12 \\ |2x+6|=4\\ 2|x+3|=4\\ |x+3|=2\\ x+3 =-2 \vee x+3=2\\ x=-5 \vee x=-1$