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15x-\frac{25}{6}x=10
Subtract \frac{25}{6}x from both sides.
\frac{65}{6}x=10
Combine 15x and -\frac{25}{6}x to get \frac{65}{6}x.
x=10\times \frac{6}{65}
Multiply both sides by \frac{6}{65}, the reciprocal of \frac{65}{6}.
x=\frac{10\times 6}{65}
Express 10\times \frac{6}{65} as a single fraction.
x=\frac{60}{65}
Multiply 10 and 6 to get 60.
x=\frac{12}{13}
Reduce the fraction \frac{60}{65} to lowest terms by extracting and canceling out 5.