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8\times \frac{3}{2}=x
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
\frac{8\times 3}{2}=x
Express 8\times \frac{3}{2} as a single fraction.
\frac{24}{2}=x
Multiply 8 and 3 to get 24.
12=x
Divide 24 by 2 to get 12.
x=12
Swap sides so that all variable terms are on the left hand side.