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\frac{5}{6}x-5-\frac{7}{12}x=-4
Subtract \frac{7}{12}x from both sides.
\frac{1}{4}x-5=-4
Combine \frac{5}{6}x and -\frac{7}{12}x to get \frac{1}{4}x.
\frac{1}{4}x=-4+5
Add 5 to both sides.
\frac{1}{4}x=1
Add -4 and 5 to get 1.
x=1\times 4
Multiply both sides by 4, the reciprocal of \frac{1}{4}.
x=4
Multiply 1 and 4 to get 4.