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\frac{5}{8}x=9+6
Add 6 to both sides.
\frac{5}{8}x=15
Add 9 and 6 to get 15.
x=15\times \frac{8}{5}
Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.
x=\frac{15\times 8}{5}
Express 15\times \frac{8}{5} as a single fraction.
x=\frac{120}{5}
Multiply 15 and 8 to get 120.
x=24
Divide 120 by 5 to get 24.