Correct Answer: Option E

Explanation

\(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

collect like terms

\(\frac{2}{5}\) + \(\frac{1}{6}\) =  \(\frac{3}{4}x\) -  \(\frac{1}{3}x\)

\(\frac{17}{30}\) = \(\frac{5x}{12}\)

cross multiply 

150x = 204

x = \(\frac{204}{150}\) = \(\frac{34}{25}\)

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