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x+\frac{1}{10}=\frac{\frac{3}{5}}{2}
Divide both sides by 2.
x+\frac{1}{10}=\frac{3}{5\times 2}
Express \frac{\frac{3}{5}}{2} as a single fraction.
x+\frac{1}{10}=\frac{3}{10}
Multiply 5 and 2 to get 10.
x=\frac{3}{10}-\frac{1}{10}
Subtract \frac{1}{10} from both sides.
x=\frac{3-1}{10}
Since \frac{3}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.
x=\frac{2}{10}
Subtract 1 from 3 to get 2.
x=\frac{1}{5}
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.