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x\times \frac{9}{15}\times 10=12\times 20
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 12,x.
x\times \frac{3}{5}\times 10=12\times 20
Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.
x\times \frac{3\times 10}{5}=12\times 20
Express \frac{3}{5}\times 10 as a single fraction.
x\times \frac{30}{5}=12\times 20
Multiply 3 and 10 to get 30.
x\times 6=12\times 20
Divide 30 by 5 to get 6.
x\times 6=240
Multiply 12 and 20 to get 240.
x=\frac{240}{6}
Divide both sides by 6.
x=40
Divide 240 by 6 to get 40.