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0.15x=0.1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x=\frac{0.1}{0.15}
Divide both sides by 0.15.
x=\frac{10}{15}
Expand \frac{0.1}{0.15} by multiplying both numerator and the denominator by 100.
x=\frac{2}{3}
Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.