Câu 5:
\(a,11-2x=x-1.\\ \Leftrightarrow-3x=-12.\\ \Leftrightarrow x=4.\)
\(b,2x\left(x-3\right)-5\left(x-3\right)=0.\\ \Leftrightarrow\left(x-3\right)\left(2x-5\right)=0.\\ \Leftrightarrow\left[{}\begin{matrix}x-3=0.\\2x-5=0.\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3.\\x=\dfrac{5}{2}.\end{matrix}\right.\)
\(c,\dfrac{2}{x+1}-\dfrac{1}{x-2}=\dfrac{3x-11}{\left(x+1\right)\left(x-2\right)}\left(x\ne-1;2\right).\)
\(\Leftrightarrow\dfrac{2x-4-x-1-3x+11}{\left(x+1\right)\left(x-2\right)}=0.\\ \Rightarrow-2x=-6.\\ \Leftrightarrow x=3\left(TM\right).\)