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x\times \frac{10}{1.8}=35
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{100}{18}=35
Expand \frac{10}{1.8} by multiplying both numerator and the denominator by 10.
x\times \frac{50}{9}=35
Reduce the fraction \frac{100}{18} to lowest terms by extracting and canceling out 2.
x=35\times \frac{9}{50}
Multiply both sides by \frac{9}{50}, the reciprocal of \frac{50}{9}.
x=\frac{35\times 9}{50}
Express 35\times \frac{9}{50} as a single fraction.
x=\frac{315}{50}
Multiply 35 and 9 to get 315.
x=\frac{63}{10}
Reduce the fraction \frac{315}{50} to lowest terms by extracting and canceling out 5.