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6x-10-\frac{1}{2}x=0
Subtract \frac{1}{2}x from both sides.
\frac{11}{2}x-10=0
Combine 6x and -\frac{1}{2}x to get \frac{11}{2}x.
\frac{11}{2}x=10
Add 10 to both sides. Anything plus zero gives itself.
x=10\times \frac{2}{11}
Multiply both sides by \frac{2}{11}, the reciprocal of \frac{11}{2}.
x=\frac{10\times 2}{11}
Express 10\times \frac{2}{11} as a single fraction.
x=\frac{20}{11}
Multiply 10 and 2 to get 20.