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\frac{1}{2}x-6-\frac{1}{5}x=0
Subtract \frac{1}{5}x from both sides.
\frac{3}{10}x-6=0
Combine \frac{1}{2}x and -\frac{1}{5}x to get \frac{3}{10}x.
\frac{3}{10}x=6
Add 6 to both sides. Anything plus zero gives itself.
x=6\times \frac{10}{3}
Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.
x=\frac{6\times 10}{3}
Express 6\times \frac{10}{3} as a single fraction.
x=\frac{60}{3}
Multiply 6 and 10 to get 60.
x=20
Divide 60 by 3 to get 20.