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