\(\frac{1}{2}\times\left(3x+1\right)-2:3=4\)
\(\frac{1}{2}\times\left(3x+1\right)-\frac{2}{3}=4\)
\(\frac{1}{2}\times\left(3x+1\right)-\frac{1}{2}\times\frac{4}{3}=4\)
\(\frac{1}{2}\times\left(3x+1-\frac{4}{3}\right)=4\)
\(3x+\frac{-1}{3}=4:\frac{1}{2}\)
\(3x+\frac{-1}{3}=8\)
\(3x=\frac{24}{3}-\left(\frac{-1}{3}\right)\)
\(3x=\frac{25}{3}\)
\(x=\frac{25}{3}:3\)
\(x=\frac{25}{9}\)