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\frac{5}{4}x=5+10
Add 10 to both sides.
\frac{5}{4}x=15
Add 5 and 10 to get 15.
x=15\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{15\times 4}{5}
Express 15\times \frac{4}{5} as a single fraction.
x=\frac{60}{5}
Multiply 15 and 4 to get 60.
x=12
Divide 60 by 5 to get 12.