Solve for x
x=-13
x=15
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|\frac{1}{2}x-\frac{1}{2}|=7
Divide each term of x-1 by 2 to get \frac{1}{2}x-\frac{1}{2}.
\frac{1}{2}x-\frac{1}{2}=7 \frac{1}{2}x-\frac{1}{2}=-7
Use the definition of absolute value.
\frac{1}{2}x=\frac{15}{2} \frac{1}{2}x=-\frac{13}{2}
Add \frac{1}{2} to both sides of the equation.
x=15 x=-13
Multiply both sides by 2.
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