Ta có: \(2x+\dfrac{3}{4}=1+\dfrac{x-7}{5}\)
\(\Leftrightarrow\dfrac{40x}{20}+\dfrac{15}{20}=\dfrac{20}{20}+\dfrac{4\left(x-7\right)}{20}\)
\(\Leftrightarrow40x+15=20+4x-28\)
\(\Leftrightarrow40x+15-4x+8=0\)
\(\Leftrightarrow36x+23=0\)
\(\Leftrightarrow36x=-23\)
\(\Leftrightarrow x=-\dfrac{23}{36}\)
Vậy: \(S=\left\{-\dfrac{23}{36}\right\}\)