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\frac{100\times 2}{3}=100x
Express \frac{100}{3}\times 2 as a single fraction.
\frac{200}{3}=100x
Multiply 100 and 2 to get 200.
100x=\frac{200}{3}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{200}{3}}{100}
Divide both sides by 100.
x=\frac{200}{3\times 100}
Express \frac{\frac{200}{3}}{100} as a single fraction.
x=\frac{200}{300}
Multiply 3 and 100 to get 300.
x=\frac{2}{3}
Reduce the fraction \frac{200}{300} to lowest terms by extracting and canceling out 100.