\(\left\{{}\begin{matrix}x\ne-\dfrac{5}{3}\\-\dfrac{2}{3x+5}>0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ne-\dfrac{5}{3}\\3x+5< 0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ne-\dfrac{5}{3}\\x< -\dfrac{5}{3}\end{matrix}\right.\Leftrightarrow x< -\dfrac{5}{3}\)