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\frac{5}{6}x-4-\frac{2}{3}x>6
Subtract \frac{2}{3}x from both sides.
\frac{1}{6}x-4>6
Combine \frac{5}{6}x and -\frac{2}{3}x to get \frac{1}{6}x.
\frac{1}{6}x>6+4
Add 4 to both sides.
\frac{1}{6}x>10
Add 6 and 4 to get 10.
x>10\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}. Since \frac{1}{6} is positive, the inequality direction remains the same.
x>60
Multiply 10 and 6 to get 60.