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\frac{3}{4}x+2-\frac{5}{6}x=1
Subtract \frac{5}{6}x from both sides.
-\frac{1}{12}x+2=1
Combine \frac{3}{4}x and -\frac{5}{6}x to get -\frac{1}{12}x.
-\frac{1}{12}x=1-2
Subtract 2 from both sides.
-\frac{1}{12}x=-1
Subtract 2 from 1 to get -1.
x=-\left(-12\right)
Multiply both sides by -12, the reciprocal of -\frac{1}{12}.
x=12
Multiply -1 and -12 to get 12.