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\frac{1}{6}x-3-\frac{1}{3}x=0
Subtract \frac{1}{3}x from both sides.
-\frac{1}{6}x-3=0
Combine \frac{1}{6}x and -\frac{1}{3}x to get -\frac{1}{6}x.
-\frac{1}{6}x=3
Add 3 to both sides. Anything plus zero gives itself.
x=3\left(-6\right)
Multiply both sides by -6, the reciprocal of -\frac{1}{6}.
x=-18
Multiply 3 and -6 to get -18.