-3|x+7| = -12
Divide both sides by -3, which gives us:
|x+7| = 4
Since the absolute value of x+7 is 4, x+7 could be either -4 or +4, since either one will give us an absolute value of 4.
Therefore, substituting them both separately, we get:
x+7 = 4
Subtract 7 from both sides.
x=-3
x+7 = -4
Subtract 7 from both sides.
x = -11
So . . .
S={-3,-11}
Substituting -3 or -11 back into the original equation makes the equation true.
