\(P=\dfrac{\sqrt{x}+5\sqrt{x}-4}{\sqrt{x}\left(\sqrt{x}-2\right)}:\dfrac{x-4-x}{\sqrt{x}\left(\sqrt{x}-2\right)}=\dfrac{6\sqrt{x}-4}{-4}=\dfrac{2-3\sqrt{x}}{2}\)
\(P=\left(\dfrac{1}{\sqrt{x}-2}+\dfrac{5\sqrt{x}-4}{x-2\sqrt{x}}\right):\left(\dfrac{2+\sqrt{x}}{\sqrt{x}}-\dfrac{\sqrt{x}}{\sqrt{x}-2}\right)\)
\(=\dfrac{2\left(3\sqrt{x}-2\right)}{\sqrt{x}\left(\sqrt{x}-2\right)}:\dfrac{x-4-x}{\left(\sqrt{x}-2\right)\cdot\sqrt{x}}\)
\(=\dfrac{-3\sqrt{x}+2}{2}\)