\(a,x+\dfrac{2}{3}=-\dfrac{1}{12}.\dfrac{-4}{5}\\ \Rightarrow x+\dfrac{2}{3}=\dfrac{1}{15}\\ \Rightarrow x=-\dfrac{3}{5}\)
\(b,\dfrac{x}{3}=\dfrac{2}{3}+\dfrac{-1}{7}\\ \Rightarrow\dfrac{x}{3}=\dfrac{11}{21}\\ \Rightarrow x=\dfrac{11}{21}.3\\ \Rightarrow x=\dfrac{11}{7}\\ c,\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\\ \Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\\ \Rightarrow x=\dfrac{-13}{12}\\ d,x-\dfrac{3}{10}=\dfrac{7}{15}:\dfrac{3}{5}\\ \Rightarrow x-\dfrac{3}{10}=\dfrac{7}{9}\\ \Rightarrow x=\dfrac{97}{90}\\ e,x+\dfrac{3}{22}=\dfrac{27}{121}.\dfrac{11}{9}\\ \Rightarrow x+\dfrac{3}{22}=\dfrac{3}{11}\\ \Rightarrow x=\dfrac{3}{22}\\ f,\dfrac{8}{23}.\dfrac{46}{24}=\dfrac{1}{3}.x\\ \Rightarrow\dfrac{1}{3}.x=\dfrac{2}{3}\\ \Rightarrow x=2\)
