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2x=\frac{4}{35}\times 7
Multiply both sides by 7.
2x=\frac{4\times 7}{35}
Express \frac{4}{35}\times 7 as a single fraction.
2x=\frac{28}{35}
Multiply 4 and 7 to get 28.
2x=\frac{4}{5}
Reduce the fraction \frac{28}{35} to lowest terms by extracting and canceling out 7.
x=\frac{\frac{4}{5}}{2}
Divide both sides by 2.
x=\frac{4}{5\times 2}
Express \frac{\frac{4}{5}}{2} as a single fraction.
x=\frac{4}{10}
Multiply 5 and 2 to get 10.
x=\frac{2}{5}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.