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\frac{1}{2}+x=\frac{3}{2}
Divide both sides by 2.
x=\frac{3}{2}-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
x=\frac{3-1}{2}
Since \frac{3}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
x=\frac{2}{2}
Subtract 1 from 3 to get 2.
x=1
Divide 2 by 2 to get 1.