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x+\frac{1}{4}-\frac{4}{4}=\frac{1}{2}-\frac{2}{4}
Convert 1 to fraction \frac{4}{4}.
x+\frac{1-4}{4}=\frac{1}{2}-\frac{2}{4}
Since \frac{1}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.
x-\frac{3}{4}=\frac{1}{2}-\frac{2}{4}
Subtract 4 from 1 to get -3.
x-\frac{3}{4}=\frac{1}{2}-\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
x-\frac{3}{4}=0
Subtract \frac{1}{2} from \frac{1}{2} to get 0.
x=\frac{3}{4}
Add \frac{3}{4} to both sides. Anything plus zero gives itself.