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\frac{1}{8}+x=\frac{1}{4}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{4}-\frac{1}{8}
Subtract \frac{1}{8} from both sides.
x=\frac{2}{8}-\frac{1}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.
x=\frac{2-1}{8}
Since \frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{8}
Subtract 1 from 2 to get 1.