\(\dfrac{x-1}{2}+\dfrac{x+2}{3}=\dfrac{2x-3}{9}\)
\(\Leftrightarrow9\left(x-1\right)+6\left(x+2\right)=2\left(2x-3\right)\)
\(\Leftrightarrow9x-9+6x+12=4x-6\)
\(\Leftrightarrow9x+6x-4x=-12+9-6\)
\(\Leftrightarrow-11x=-3\)
\(\Leftrightarrow x=\dfrac{3}{11}\)
Vậy \(S=\left\{\dfrac{3}{11}\right\}\)