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