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\frac{24}{5}x=16
Combine 8x and -\frac{16}{5}x to get \frac{24}{5}x.
x=16\times \frac{5}{24}
Multiply both sides by \frac{5}{24}, the reciprocal of \frac{24}{5}.
x=\frac{16\times 5}{24}
Express 16\times \frac{5}{24} as a single fraction.
x=\frac{80}{24}
Multiply 16 and 5 to get 80.
x=\frac{10}{3}
Reduce the fraction \frac{80}{24} to lowest terms by extracting and canceling out 8.