[tex]\sqrt{3}(x-2)+2\sqrt{3}(x+1)=6\sqrt{3}\\
\sqrt{3}x-2\sqrt{3}+2\sqrt{3}(x+1)=6\sqrt{3}\\
-2\sqrt{3}+\sqrt{3}x+2\sqrt{3}x+2\sqrt{3}=6\sqrt{3}\\
1\sqrt{3}x+2\sqrt{3}x=6\sqrt{3}\\
(1+2)\sqrt{3}x=6\sqrt{3}\\
3\sqrt{3}x=6\sqrt{3}\\
\sqrt{3}x=\frac{6\sqrt{3}}{3}\\
\sqrt{3}x=2\sqrt{3}\\
x=\frac{2\sqrt{3}}{\sqrt{3}}\\
x=2[/tex]
