Đáp án+Giải thích các bước giải:
$\\\dfrac{x-2}{27}=\dfrac{3}{x-2 }\\=>(x-2).(x-2)=27.3\\=>(x-2)^2=81\\=>(x-2)^2=9^2\\<=>\left[ \begin{array}{l}x-2=9\\x-2=-9\end{array} \right.\\<=>\left[ \begin{array}{l}x=9+2\\x=-9+2\end{array} \right.\\<=>\left[ \begin{array}{l}x=11\\x=-7\end{array} \right.$