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\frac{7}{6}x=\frac{5}{6}x+4
Combine \frac{1}{2}x and \frac{2}{3}x to get \frac{7}{6}x.
\frac{7}{6}x-\frac{5}{6}x=4
Subtract \frac{5}{6}x from both sides.
\frac{1}{3}x=4
Combine \frac{7}{6}x and -\frac{5}{6}x to get \frac{1}{3}x.
x=4\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
x=12
Multiply 4 and 3 to get 12.