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\frac{1}{12}x=\frac{5}{6}
Combine \frac{3}{4}x and -\frac{2}{3}x to get \frac{1}{12}x.
x=\frac{5}{6}\times 12
Multiply both sides by 12, the reciprocal of \frac{1}{12}.
x=\frac{5\times 12}{6}
Express \frac{5}{6}\times 12 as a single fraction.
x=\frac{60}{6}
Multiply 5 and 12 to get 60.
x=10
Divide 60 by 6 to get 10.