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x+\frac{1}{3}=\frac{2}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{2}{3}-\frac{1}{3}
Subtract \frac{1}{3} from both sides.
x=\frac{2-1}{3}
Since \frac{2}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.
x=\frac{1}{3}
Subtract 1 from 2 to get 1.