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3x=\frac{9}{20}\times 10
Multiply both sides by 10.
3x=\frac{9\times 10}{20}
Express \frac{9}{20}\times 10 as a single fraction.
3x=\frac{90}{20}
Multiply 9 and 10 to get 90.
3x=\frac{9}{2}
Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.
x=\frac{\frac{9}{2}}{3}
Divide both sides by 3.
x=\frac{9}{2\times 3}
Express \frac{\frac{9}{2}}{3} as a single fraction.
x=\frac{9}{6}
Multiply 2 and 3 to get 6.
x=\frac{3}{2}
Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.