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\frac{3}{2}x=30
Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.
x=30\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{30\times 2}{3}
Express 30\times \frac{2}{3} as a single fraction.
x=\frac{60}{3}
Multiply 30 and 2 to get 60.
x=20
Divide 60 by 3 to get 20.