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