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x=\frac{4}{3}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{4\times 3}{3\times 2}
Multiply \frac{4}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{4}{2}
Cancel out 3 in both numerator and denominator.
x=2
Divide 4 by 2 to get 2.