ĐKXĐ: ..
\(\Leftrightarrow x-1+\sqrt{x+3}-2+\sqrt{3x+1}-2=0\)
\(\Leftrightarrow x-1+\frac{x-1}{\sqrt{x+3}+2}+\frac{x-1}{\sqrt{3x+1}+2}=0\)
\(\Leftrightarrow\left(x-1\right)\left(1+\frac{1}{\sqrt{x+3}+2}+\frac{1}{\sqrt{3x+1}+2}\right)=0\)
\(\Rightarrow x=1\)