a) \(-\dfrac{2}{3}:x+\dfrac{5}{8}=-\dfrac{7}{12}\)
\(\Rightarrow\dfrac{-2}{3}:x=-\dfrac{7}{12}-\dfrac{5}{8}\)
\(\Rightarrow\dfrac{-2}{3}:x=-\dfrac{29}{24}\)
\(\Rightarrow x=-\dfrac{2}{3}:\left(-\dfrac{29}{24}\right)\)
\(\Rightarrow x=-\dfrac{2}{3}.\left(-\dfrac{24}{29}\right)\)
\(\Rightarrow x=\dfrac{16}{29}\)
b) \(-\dfrac{1}{2}+\dfrac{1}{2}x=-\dfrac{2}{3}-3\)
\(\Rightarrow-\dfrac{1}{2}+\dfrac{1}{2}x=-\dfrac{11}{3}\)
\(\Rightarrow\dfrac{1}{2}x=-\dfrac{11}{3}+\dfrac{1}{2}\)
\(\Rightarrow\dfrac{1}{2}x=-\dfrac{19}{6}\)
\(\Rightarrow x=-\dfrac{19}{6}:\dfrac{1}{2}\)
\(\Rightarrow x=-\dfrac{19}{6}.2\)
\(\Rightarrow x=-\dfrac{19}{3}\)