\(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\) 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 = \(\frac{204}{150}\) = \(\frac{34}{25}\)