\(13\frac{1}{3}:1\frac{1}{3}=26:\left(2x-1\right)\)
\(\Rightarrow\frac{40}{3}:\frac{4}{3}=26:\left(2x-1\right)\)
\(\Rightarrow10=26:\left(2x-1\right)\)
\(\Rightarrow26:\left(2x-1\right)=10\)
\(\Rightarrow2x-1=26:10\)
\(\Rightarrow2x-1=\frac{13}{5}\)
\(\Rightarrow2x=\frac{13}{5}+1\)
\(\Rightarrow2x=\frac{18}{5}\)
\(\Rightarrow x=\frac{18}{5}:2\)
\(\Rightarrow x=\frac{9}{5}\)