Question

Solve for x.

Answer 1

X could be either 6 or -10
1+|2+x|=9
|2+x|= 9-1
|2+x|= 8
x could be 6 because 2+6=8
x could also be -10 because the final answer inside the '| |' becomes positive
|2+-10|=8
|-8|=8
8=8
Thus x could be 6 or -10

Answer 2

1 + |2 + x| = 9
| 2 + x | = 9 - 1
| 2 + x| = 8

2 + x = 8            -(2 + x) = 8
x = 8 - 2              -2 - x = 8
x = 6                    -x = 8 + 2
                            -x = 10
                             x = -10

solutions are : x = 6 or x = -10