Answer
$x=-20$ and $x=24$
Work Step by Step
We are given that $|\frac{x}{2}-1|=11$.
So, $\frac{x}{2}-1=11$ and $\frac{x}{2}-1=-11$.
We can solve both of these equations for x.
For $\frac{x}{2}-1=11$, add 1 to both sides of the equation.
$\frac{x}{2}=12$
Multiply both sides of the equation by 2.
$x=24$
For $\frac{x}{2}-1=-11$, add 1 to both sides of the equation.
$\frac{x}{2}=-10$
Multiply both sides of the equation by 2.
$x=-20$