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x+9=14\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x+9=\frac{14\times 3}{2}
Express 14\times \frac{3}{2} as a single fraction.
x+9=\frac{42}{2}
Multiply 14 and 3 to get 42.
x+9=21
Divide 42 by 2 to get 21.
x=21-9
Subtract 9 from both sides.
x=12
Subtract 9 from 21 to get 12.