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\frac{1}{2}x+1-\frac{1}{3}x=-2
Subtract \frac{1}{3}x from both sides.
\frac{1}{6}x+1=-2
Combine \frac{1}{2}x and -\frac{1}{3}x to get \frac{1}{6}x.
\frac{1}{6}x=-2-1
Subtract 1 from both sides.
\frac{1}{6}x=-3
Subtract 1 from -2 to get -3.
x=-3\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
x=-18
Multiply -3 and 6 to get -18.