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\frac{1+1}{8}=\frac{1}{16}+x
Since \frac{1}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.
\frac{2}{8}=\frac{1}{16}+x
Add 1 and 1 to get 2.
\frac{1}{4}=\frac{1}{16}+x
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.
\frac{1}{16}+x=\frac{1}{4}
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{4}-\frac{1}{16}
Subtract \frac{1}{16} from both sides.
x=\frac{4}{16}-\frac{1}{16}
Least common multiple of 4 and 16 is 16. Convert \frac{1}{4} and \frac{1}{16} to fractions with denominator 16.
x=\frac{4-1}{16}
Since \frac{4}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.
x=\frac{3}{16}
Subtract 1 from 4 to get 3.