\(-\dfrac{5}{8}< \dfrac{2}{x}< -\dfrac{5}{12}\\ \Rightarrow\dfrac{-10}{16}< \dfrac{-10}{-5x}< \dfrac{-10}{24}\\ \Rightarrow-5x\in\left\{17;18;19;20;21;22;23\right\}\\ \Rightarrow x\in\left\{-\dfrac{17}{5};-\dfrac{18}{5};-\dfrac{19}{5};-4;-\dfrac{21}{5};-\dfrac{22}{5};-\dfrac{23}{5}\right\}\)