Answer Step by Step:
Move all terms not containing |-9-2x| to the right side of the equation.
|-9-2x| = 11
Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x.
-9-2x=±11
Set up the positive portion of the ± solution.
-9-2x=11
Solve the first equation for x.
x = -10
Set up the negative portion of the ± solution.
-9-2x=-11
Solve the second equation for x.
x = 1
(Answer) x = -10,1