Question

-3|2x+6|=-12

Answer 1

-3 | 2x + 6 | = -12 --- divide both sides by -3
| 2x + 6 | = 4

2x + 6 = 4
2x = 4 - 6
2x = -2
x = -1

-(2x + 6) = 4
-2x - 6 = 4
-2x = 4 + 6
-2x = 10
x = -5

so x = -1 and x = -5

Answer 2

\[\left| x+a \right|=b\]
\[x+a=\pm b ,x=\pm b-a\]

Answer 3

If you come up with a possible solution, be certain to check that solution by substituting it back into the original equation.