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x-\frac{x}{2}=2
Subtract \frac{x}{2} from both sides.
\frac{1}{2}x=2
Combine x and -\frac{x}{2} to get \frac{1}{2}x.
x=2\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=4
Multiply 2 and 2 to get 4.