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\frac{7}{12}x-\frac{1}{6}x=10
Subtract \frac{1}{6}x from both sides.
\frac{5}{12}x=10
Combine \frac{7}{12}x and -\frac{1}{6}x to get \frac{5}{12}x.
x=10\times \frac{12}{5}
Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.
x=\frac{10\times 12}{5}
Express 10\times \frac{12}{5} as a single fraction.
x=\frac{120}{5}
Multiply 10 and 12 to get 120.
x=24
Divide 120 by 5 to get 24.