Solve for x
x=-4
x=12
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|\frac{1}{2}x-2|=4
Divide each term of x-4 by 2 to get \frac{1}{2}x-2.
\frac{1}{2}x-2=4 \frac{1}{2}x-2=-4
Use the definition of absolute value.
\frac{1}{2}x=6 \frac{1}{2}x=-2
Add 2 to both sides of the equation.
x=12 x=-4
Multiply both sides by 2.
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