Bài 4: Giải các phương trình sau:
a. \(\dfrac{x-1}{x+1}=\dfrac{1}{x-1}\)
b. \(\dfrac{x}{\left(2x-3\right)}+\dfrac{x}{2x+2}=\dfrac{2x}{\left(x+1\right)\left(x-3\right)}\)
c. \(\dfrac{5}{x+3}=\dfrac{3}{x-1}\)
d. \(\dfrac{1}{x-2}+3=\dfrac{3-x}{x-2}\)
e. \(\dfrac{3-7x}{1+x}=\dfrac{1}{2}\)