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