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40\times \frac{3}{2}=x
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
\frac{40\times 3}{2}=x
Express 40\times \frac{3}{2} as a single fraction.
\frac{120}{2}=x
Multiply 40 and 3 to get 120.
60=x
Divide 120 by 2 to get 60.
x=60
Swap sides so that all variable terms are on the left hand side.