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<u> |x| </u>= <u>±x</u>.
<em>-9-2x=±11</em>
Set up the positive portion of the ± solution.
<em>-9-2x=11</em>
Solve the first equation for x.
x = <em>-10</em>
Set up the negative portion of the ± solution.
<em>-9-2x=-11</em>
Solve the second equation for x.
x = <em>1</em>
(Answer) x = <em>-10,1 </em>