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\frac{5}{6}x=6+3
Add 3 to both sides.
\frac{5}{6}x=9
Add 6 and 3 to get 9.
x=9\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=\frac{9\times 6}{5}
Express 9\times \frac{6}{5} as a single fraction.
x=\frac{54}{5}
Multiply 9 and 6 to get 54.