Điều kiện xác định :
\(\left\{{}\begin{matrix}2x-2\ne0\\x-1\ne0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x\ne2\\x\ne1\end{matrix}\right.\)
\(\Leftrightarrow x\ne1\)
\(\dfrac{2x+1}{2x-2}=\dfrac{2}{x-1}\)
\(\Leftrightarrow\dfrac{2x+1}{2x-2}-\dfrac{2}{x-1}=0\)
\(\Leftrightarrow\dfrac{2x+1}{2\left(x-1\right)}-\dfrac{2}{x-1}=0\)
\(\Leftrightarrow\dfrac{2x+1-2.2}{2\left(x-1\right)}=0\)
\(\Leftrightarrow2x+1-4=0\)
\(\Leftrightarrow2x-3=0\)
\(\Leftrightarrow x=\dfrac{3}{2}\left(tmdk\right)\)
Vậy \(S=\left\{\dfrac{3}{2}\right\}\)
DKXĐ: x<>1
PT =>2x+1=4
=>2x=3
=>x=3/2
