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

2xsin(60)+8csc(60)=cos(45)\displaystyle -{2}{x}{\sin{{\left({60}^{\circ}\right)}}}+{8}{\csc{{\left({60}^{\circ}\right)}}}=-{\cos{{\left({45}^{\circ}\right)}}}