Solve for x.

1+|2+x|=9

x = 6 or x=-10

x = 5 or x=-9

x = 7 or x=-11

x = 4 or x=-8

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

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