ĐK tự làm
$(2\sqrt{x}-\sqrt{3x+1}) +(\sqrt{2x+2}-\sqrt{x+3})=0$
$\Leftrightarrow \dfrac{x-1}{2\sqrt{x}+\sqrt{3x+1}} + \dfrac{x-1}{\sqrt{2x+2}+\sqrt{x+3}}=0$
$\Leftrightarrow (x-1) \bigg ( \dfrac{1}{2\sqrt{x}+\sqrt{3x+1}} + \dfrac{1}{\sqrt{2x+2}+\sqrt{x+3}} \bigg )=0$
$\Leftrightarrow x=1$