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x=\frac{9}{10}-\frac{2}{5}
Subtract \frac{2}{5} from both sides.
x=\frac{9}{10}-\frac{4}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{9}{10} and \frac{2}{5} to fractions with denominator 10.
x=\frac{9-4}{10}
Since \frac{9}{10} and \frac{4}{10} have the same denominator, subtract them by subtracting their numerators.
x=\frac{5}{10}
Subtract 4 from 9 to get 5.
x=\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.