\(a,\dfrac{-1}{3}-x=\dfrac{1}{5}-\dfrac{1}{-2}\\ \Rightarrow\dfrac{-1}{3}-x=\dfrac{7}{10}\\ \Rightarrow x=-\dfrac{31}{30}\\ b,\dfrac{3}{7}:x=\dfrac{1}{4}-\dfrac{3}{2}\\ \Rightarrow\dfrac{3}{7}:x=-\dfrac{5}{4}\\ \Rightarrow x=-\dfrac{12}{35}\\ c,\dfrac{4}{9}.x+\dfrac{1}{3}=\dfrac{5}{6}\\ \Rightarrow\dfrac{4}{9}.x=\dfrac{1}{2}\\ \Rightarrow x=\dfrac{9}{8}\\ d,\dfrac{2}{5}+\dfrac{3}{5}.x=\dfrac{14}{15}\\ \Rightarrow\dfrac{3}{5}.x=\dfrac{8}{15}\\ \Rightarrow x=\dfrac{8}{9}\)