\(3\dfrac{1}{4}-\left(2\dfrac{1}{2}x-1\dfrac{1}{3}\right)=1\dfrac{1}{2}:\left(-\dfrac{1}{6}\right)\)

\(\dfrac{13}{4}-\left(\dfrac{5}{2}x-\dfrac{4}{3}\right)=\dfrac{3}{2}:\left(-\dfrac{1}{6}\right)\)

\(\dfrac{13}{4}-\dfrac{5}{2}x+\dfrac{4}{3}=-9\)

\(-\dfrac{5}{2}x=-9-\dfrac{4}{3}-\dfrac{13}{4}\)

\(-\dfrac{5}{2}x=-\dfrac{163}{12}\)

\(\Rightarrow\dfrac{5}{2}x=\dfrac{163}{12}\)

\(\Rightarrow x=\dfrac{163}{12}:\dfrac{5}{2}\)

\(\Rightarrow x=\dfrac{163}{30}\)