Respuesta :
[tex]-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[/tex]
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.
-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.