a, \(D=\left(2-\dfrac{\sqrt{x}-1}{2\sqrt{x}-3}\right):\left(\dfrac{6\sqrt{x}+1}{\left(2\sqrt{x}-3\right)\left(\sqrt{x}+1\right)}+\dfrac{\sqrt{x}}{\sqrt{x}+1}\right)\)
\(D=\left(2-\dfrac{\sqrt{x}-1}{2\sqrt{x}-3}\right):\left(\dfrac{6\sqrt{x}+1+\sqrt{x}\left(2\sqrt{x}-3\right)}{\left(2\sqrt{x}-3\right)\left(\sqrt{x}+1\right)}\right)\)
\(D=\dfrac{2\left(2\sqrt{x}-3\right)-\left(\sqrt{x}-1\right)}{2\sqrt{x}-3}:\left(\dfrac{6\sqrt{x}+1+2x-3\sqrt{x}}{\left(2\sqrt{x}-3\right)\left(\sqrt{x}+1\right)}\right)\)
\(D=\dfrac{4\sqrt{x}-6-\sqrt{x}+1}{2\sqrt{x}-3}:\dfrac{2x+3\sqrt{x}+1}{\left(2\sqrt{x}-3\right)\left(\sqrt{x}+1\right)}\)
\(D=\dfrac{3\sqrt{x}-5}{2\sqrt{x}-3}:\dfrac{\left(\sqrt{x}+1\right)\left(2\sqrt{x}+1\right)}{\left(2\sqrt{x}-3\right)\left(\sqrt{x}+1\right)}\)
\(D=\dfrac{3\sqrt{x}-5}{2\sqrt{x}-3}:\dfrac{2\sqrt{x}+1}{2\sqrt{x}-3}\)
\(D=\dfrac{3\sqrt{x}-5}{2\sqrt{x}-3}.\dfrac{2\sqrt{x}-3}{2\sqrt{x}+1}=\dfrac{3\sqrt{x}-5}{2\sqrt{x}+1}\)