\(=\dfrac{x+1}{2x}-\dfrac{4x-6}{5x\left(x-1\right)}-\dfrac{2x}{5\left(x-1\right)}\)
\(=\dfrac{x+1}{2x}+\dfrac{-4x+6-2x^2}{5x\left(x-1\right)}\)
\(=\dfrac{5\left(x-1\right)\left(x+1\right)}{10x\left(x-1\right)}+\dfrac{-8x+12-4x^2}{10x\left(x-1\right)}\)
\(=\dfrac{5x^2-5-8x+12-4x^2}{10x\left(x-1\right)}\)
\(=\dfrac{x^2-8x+7}{10x\left(x-1\right)}=\dfrac{x-7}{10x}\)