ĐKXĐ : \(x\ne3\)
\(\dfrac{1}{x-3}+2=\dfrac{x-5}{3-x}\)
<=> \(\dfrac{1+2\left(x-3\right)}{x-3}=\dfrac{5-x}{x-3}\)
=> \(1+2x-6=5-x\)
=> \(3x=10\)
=> \(x=\dfrac{10}{3}\) ( Thỏa mãn ĐKXĐ )
Vậy ...
<=> \(\dfrac{1}{x-3}+\dfrac{2\left(x-3\right)}{x-3}+\dfrac{x-5}{x-3}=0\)
ĐK: x \(\ne3\)
\(\dfrac{1+2x-6+x-5}{x-3}=0\)
\(3x-10=0\)
=> x=\(\dfrac{10}{3}\)