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\frac{5}{3}x=\frac{4}{3}
Combine \frac{5}{2}x and -\frac{5}{6}x to get \frac{5}{3}x.
x=\frac{4}{3}\times \frac{3}{5}
Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.
x=\frac{4\times 3}{3\times 5}
Multiply \frac{4}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{4}{5}
Cancel out 3 in both numerator and denominator.