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\frac{1}{2}x=1-\frac{1}{3}
Subtract \frac{1}{3} from both sides.
\frac{1}{2}x=\frac{3}{3}-\frac{1}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{1}{2}x=\frac{3-1}{3}
Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{2}x=\frac{2}{3}
Subtract 1 from 3 to get 2.
x=\frac{2}{3}\times 2
Multiply both sides by 2, the reciprocal of \frac{1}{2}.
x=\frac{2\times 2}{3}
Express \frac{2}{3}\times 2 as a single fraction.
x=\frac{4}{3}
Multiply 2 and 2 to get 4.