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\frac{1}{3}x-6-\frac{2}{3}x=12
Subtract \frac{2}{3}x from both sides.
-\frac{1}{3}x-6=12
Combine \frac{1}{3}x and -\frac{2}{3}x to get -\frac{1}{3}x.
-\frac{1}{3}x=12+6
Add 6 to both sides.
-\frac{1}{3}x=18
Add 12 and 6 to get 18.
x=18\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
x=-54
Multiply 18 and -3 to get -54.