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2x=\frac{9}{2}-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
2x=\frac{9-3}{2}
Since \frac{9}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.
2x=\frac{6}{2}
Subtract 3 from 9 to get 6.
2x=3
Divide 6 by 2 to get 3.
x=\frac{3}{2}
Divide both sides by 2.