[tex]\sqrt{x+1}-\sqrt{2-2x}=\frac{6x-2}{sqrt{9x^2+4}}\Leftrightarrow \frac{3x-1}{\sqrt{x+1}+\sqrt{2-2x}}=\frac{6x-2}{\sqrt{9x^2+4}}\Leftrightarrow (3x-1)(\frac{1}{\sqrt{x+1}+\sqrt{2-2x}}-\frac{1}{sqrt{9x^2+4}})=0\Rightarrow 3x-1=0\Leftrightarrow x=\frac{1}{3}[/tex]