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\frac{27}{4}x=9
Combine 8x and -\frac{5}{4}x to get \frac{27}{4}x.
x=9\times \frac{4}{27}
Multiply both sides by \frac{4}{27}, the reciprocal of \frac{27}{4}.
x=\frac{9\times 4}{27}
Express 9\times \frac{4}{27} as a single fraction.
x=\frac{36}{27}
Multiply 9 and 4 to get 36.
x=\frac{4}{3}
Reduce the fraction \frac{36}{27} to lowest terms by extracting and canceling out 9.