\(3-\frac{2}{2x-3}=\frac{2}{5}+\frac{2}{9-6x}-\frac{3}{2}\)
=> \(3-\frac{2}{5}+\frac{3}{2}=\frac{2}{9-6x}+\frac{2}{2x-3}\)
=> \(3-\frac{2}{5}+\frac{3}{2}=\frac{4}{6x-9}\)
=> \(\frac{41}{10}=\frac{4}{6x-9}\)
=> \(40=41\left(6x-9\right)\)
=> \(40=246x-369\)
=> \(246x=40+369=409\)
=> \(x=\frac{409}{246}\)