Question

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 ​

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