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10=x\times \frac{2}{0.6}
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
10=x\times \frac{20}{6}
Expand \frac{2}{0.6} by multiplying both numerator and the denominator by 10.
10=x\times \frac{10}{3}
Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.
x\times \frac{10}{3}=10
Swap sides so that all variable terms are on the left hand side.
x=10\times \frac{3}{10}
Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.
x=3
Cancel out 10 and 10.