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\frac{5}{4}x=9+1
Add 1 to both sides.
\frac{5}{4}x=10
Add 9 and 1 to get 10.
x=10\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{10\times 4}{5}
Express 10\times \frac{4}{5} as a single fraction.
x=\frac{40}{5}
Multiply 10 and 4 to get 40.
x=8
Divide 40 by 5 to get 8.