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x+\frac{1}{4}=\frac{1}{2}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{2}-\frac{1}{4}
Subtract \frac{1}{4} from both sides.
x=\frac{2}{4}-\frac{1}{4}
Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.
x=\frac{2-1}{4}
Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{4}
Subtract 1 from 2 to get 1.