Solve for x\displaystyle {x} exactly. Be sure that your final answer is in lowest terms with a rational denominator.

9xcot(30)+3tan(60)=6tan(45)\displaystyle {9}{x}{\cot{{\left({30}^{\circ}\right)}}}+{3}{\tan{{\left({60}^{\circ}\right)}}}={6}{\tan{{\left({45}^{\circ}\right)}}}

 x=\displaystyle {x}=