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x=\frac{19}{17}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{19\times 3}{17\times 2}
Multiply \frac{19}{17} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
x=\frac{57}{34}
Do the multiplications in the fraction \frac{19\times 3}{17\times 2}.