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x-2=\frac{1}{2}\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x-2=\frac{4}{2}
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
x-2=2
Divide 4 by 2 to get 2.
x=2+2
Add 2 to both sides.
x=4
Add 2 and 2 to get 4.