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x=\frac{2}{3}-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
x=\frac{4}{6}-\frac{3}{6}
Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{1}{2} to fractions with denominator 6.
x=\frac{4-3}{6}
Since \frac{4}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{6}
Subtract 3 from 4 to get 1.