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x\times \frac{3}{0.9}=10
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times \frac{30}{9}=10
Expand \frac{3}{0.9} by multiplying both numerator and the denominator by 10.
x\times \frac{10}{3}=10
Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.
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.