\(\dfrac{1}{2}x-\dfrac{1}{3}=\dfrac{7}{3}x+\dfrac{1}{4}\)
\(\Rightarrow\dfrac{1}{2}x-\dfrac{7}{3}x=\dfrac{1}{4}+\dfrac{1}{3}\)
\(\Rightarrow\dfrac{-11}{6}x=\dfrac{7}{12}\)
\(\Rightarrow x=\dfrac{7}{12}:\left(-\dfrac{11}{6}\right)\)
\(\Rightarrow x=\dfrac{7}{12}.\left(-\dfrac{6}{11}\right)\)
\(\Rightarrow x=-\dfrac{7}{22}\)