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