\(\dfrac{2}{3}+\dfrac{5}{8}:x=\dfrac{1}{4}\\ \Rightarrow\dfrac{5}{8}:x=\dfrac{1}{4}-\dfrac{2}{3}\\ \Rightarrow\dfrac{5}{8}:x=\dfrac{-5}{12}\\ \Rightarrow x=\dfrac{5}{8}:\dfrac{-5}{12}\\ \Rightarrow x=\dfrac{-3}{2}\)
\(\dfrac{5}{8}:x=\dfrac{1}{4}-\dfrac{2}{3}=\dfrac{3-8}{12}=-\dfrac{5}{12}\Leftrightarrow x=\dfrac{5}{8}:\left(-\dfrac{5}{12}\right)=-\dfrac{12}{8}=-\dfrac{3}{2}\)
\(\dfrac{2}{3}+\dfrac{5}{8}:x=\dfrac{1}{4}\)
\(\dfrac{5}{8}:x=\dfrac{1}{4}-\dfrac{2}{3}\)
\(\dfrac{5}{8}:x=\dfrac{3}{12}-\dfrac{8}{12}\)
\(\dfrac{5}{8}:x=-\dfrac{5}{12}\)
\(x=\dfrac{5}{8}:\left(-\dfrac{5}{12}\right)\)
\(x=\dfrac{5}{8}.\left(-\dfrac{12}{5}\right)\)
\(x=-\dfrac{3}{2}\)
