\(\left(2x-3\right):\frac{2}{39}=\frac{5}{39}\)
=> \(2x-3=\frac{5}{39}\cdot\frac{2}{39}=\frac{10}{39}\)
=> \(2x=\frac{10}{39}+3\)
=> \(2x=\frac{127}{39}\)
=> \(x=\frac{127}{39}:2=\frac{127}{39\cdot2}=\frac{127}{78}\)
\(\left(2x-3\right):\frac{2}{39}=\frac{5}{39}\)
\(\Leftrightarrow2x-3=\frac{5}{39}.\frac{2}{39}\)
\(\Leftrightarrow2x-3=\frac{10}{1521}\)
\(\Leftrightarrow2x=\frac{4573}{1521}\)
\(\Leftrightarrow x=\frac{4573}{3042}\)