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\frac{8}{5}x=78
Combine x and \frac{3}{5}x to get \frac{8}{5}x.
x=78\times \frac{5}{8}
Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.
x=\frac{78\times 5}{8}
Express 78\times \frac{5}{8} as a single fraction.
x=\frac{390}{8}
Multiply 78 and 5 to get 390.
x=\frac{195}{4}
Reduce the fraction \frac{390}{8} to lowest terms by extracting and canceling out 2.