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x=4\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{4\times 3}{2}
Express 4\times \frac{3}{2} as a single fraction.
x=\frac{12}{2}
Multiply 4 and 3 to get 12.
x=6
Divide 12 by 2 to get 6.