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\frac{2}{3}x-\frac{1}{2}x-5=0
Combine x and -\frac{1}{3}x to get \frac{2}{3}x.
\frac{1}{6}x-5=0
Combine \frac{2}{3}x and -\frac{1}{2}x to get \frac{1}{6}x.
\frac{1}{6}x=5
Add 5 to both sides. Anything plus zero gives itself.
x=5\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}.
x=30
Multiply 5 and 6 to get 30.