[tex]\large\boxed{x=3\,\,\text{or}\,\,x=-15}[/tex]
In this question, we're solving the equation with the absolute value.
In this case, we would be solving for x.
The equation we are solving is:
[tex]3|x+6|-7=20[/tex]
Lets solve:
[tex]3|x+6|-7=20\\\\\text{First, we add 7 to both sides}\\\\3|x+6|=27\\\\\text{We need to get the absolute value by itself, so}\\\text{we would divide both sides by 3}\\\\|x+6|=9\\\\\text{For absolute value, there could be two possiblities}\\\\x+6=9\,\,\text{or}\,\,x+6=-9\\\\\text{We would solve for both}\\\\x+6=9\\\\\text{Subtract 6 from both sides}\\\\x=3\\\\x+6=-9\\\\\text{Subtract both sides by 6}\\\\x=-15\\\\\boxed{x=3\,\,\text{or}\,\,x=-15}[/tex]
Your answer would be x = 3 or x = -15
