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\frac{25}{6}x=5
Combine \frac{5}{2}x and \frac{5}{3}x to get \frac{25}{6}x.
x=5\times \frac{6}{25}
Multiply both sides by \frac{6}{25}, the reciprocal of \frac{25}{6}.
x=\frac{5\times 6}{25}
Express 5\times \frac{6}{25} as a single fraction.
x=\frac{30}{25}
Multiply 5 and 6 to get 30.
x=\frac{6}{5}
Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.