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x-\frac{2}{15}x=5
Subtract \frac{2}{15}x from both sides.
\frac{13}{15}x=5
Combine x and -\frac{2}{15}x to get \frac{13}{15}x.
x=5\times \frac{15}{13}
Multiply both sides by \frac{15}{13}, the reciprocal of \frac{13}{15}.
x=\frac{5\times 15}{13}
Express 5\times \frac{15}{13} as a single fraction.
x=\frac{75}{13}
Multiply 5 and 15 to get 75.