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x+\frac{1}{2}x\times 10=5
Cancel out 2 and 2.
x+\frac{10}{2}x=5
Multiply \frac{1}{2} and 10 to get \frac{10}{2}.
x+5x=5
Divide 10 by 2 to get 5.
6x=5
Combine x and 5x to get 6x.
x=\frac{5}{6}
Divide both sides by 6.