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\frac{9}{x}=\frac{18}{10}
Divide both sides by 10.
\frac{9}{x}=\frac{9}{5}
Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.
5\times 9=9x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
45=9x
Multiply 5 and 9 to get 45.
9x=45
Swap sides so that all variable terms are on the left hand side.
x=\frac{45}{9}
Divide both sides by 9.
x=5
Divide 45 by 9 to get 5.