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\frac{5}{6}x=3+7
Add 7 to both sides.
\frac{5}{6}x=10
Add 3 and 7 to get 10.
x=10\times \frac{6}{5}
Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.
x=\frac{10\times 6}{5}
Express 10\times \frac{6}{5} as a single fraction.
x=\frac{60}{5}
Multiply 10 and 6 to get 60.
x=12
Divide 60 by 5 to get 12.