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\frac{1}{3}x-10-\frac{1}{2}x=0
Subtract \frac{1}{2}x from both sides.
-\frac{1}{6}x-10=0
Combine \frac{1}{3}x and -\frac{1}{2}x to get -\frac{1}{6}x.
-\frac{1}{6}x=10
Add 10 to both sides. Anything plus zero gives itself.
x=10\left(-6\right)
Multiply both sides by -6, the reciprocal of -\frac{1}{6}.
x=-60
Multiply 10 and -6 to get -60.