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\frac{2\times 5}{3}\times 44=10x
Express \frac{2}{3}\times 5 as a single fraction.
\frac{10}{3}\times 44=10x
Multiply 2 and 5 to get 10.
\frac{10\times 44}{3}=10x
Express \frac{10}{3}\times 44 as a single fraction.
\frac{440}{3}=10x
Multiply 10 and 44 to get 440.
10x=\frac{440}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{440}{3}}{10}
Divide both sides by 10.
x=\frac{440}{3\times 10}
Express \frac{\frac{440}{3}}{10} as a single fraction.
x=\frac{440}{30}
Multiply 3 and 10 to get 30.
x=\frac{44}{3}
Reduce the fraction \frac{440}{30} to lowest terms by extracting and canceling out 10.