[tex]\displaystyle\bf\\\frac{2}{x+6} -\frac{1}{x-6} =0\\\\\\\frac{2\cdot(x-6)-1\cdot(x+6)}{(x+6)(x-6)} =0\\\\\\\frac{2x-12-x-6}{(x+6)(x-6)} =0\\\\\\\frac{x-18}{(x+6)(x-6)} =0\\\\\\\left\{\begin{array}{ccc}x-18=0\\x+6\neq 0\\x-6\neq 0\end{array}\right\\\\\\\left\{\begin{array}{ccc}x=18\\x\neq -6\\x\neq 6\end{array}\right\\\\\\Otvet \ : \ 18[/tex]