\(\dfrac{x+\dfrac{3}{2}}{6}=\dfrac{-5}{12}\)
\(\Rightarrow\left(x+\dfrac{3}{2}\right)\cdot\dfrac{1}{6}=-\dfrac{5}{12}\)
\(\Rightarrow x+\dfrac{3}{2}=-\dfrac{5}{12}:\dfrac{1}{6}\)
\(\Rightarrow x+\dfrac{3}{2}=-\dfrac{5}{2}\)
\(\Rightarrow x=-\dfrac{5}{2}-\dfrac{3}{2}\)
\(\Rightarrow x=-\dfrac{8}{2}\)
\(\Rightarrow x=-4\)