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\frac{1}{2}x-4-\frac{1}{3}x=-1
Subtract \frac{1}{3}x from both sides.
\frac{1}{6}x-4=-1
Combine \frac{1}{2}x and -\frac{1}{3}x to get \frac{1}{6}x.
\frac{1}{6}x=-1+4
Add 4 to both sides.
\frac{1}{6}x=3
Add -1 and 4 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.