$\text{Đáp án + Giải thích các bước giải:}$
`a//2x-3=3(x+1)`
`<=>2x-3=3x+3`
`<=>2x-3x=3+3`
`<=>-x=6`
`<=>x=-6`
`\text{Vậy}` `S={-6}`
`b//(2x-1)(2x+3)=0`
`<=>` \(\left[ \begin{array}{l}2x-1=0\\2x+3=0\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}2x=1\\2x=-3\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}x=\dfrac{1}{2}\\x=-\dfrac{3}{2}\end{array} \right.\)
`\text{Vậy}` `S={(1)/(2);-(3)/(2)}`
`c//(x-1)/(x+1)-(x+1)/(x-1)=(8)/(x^{2}-1)` `(ĐKXĐ:x\ne±1)`
`<=>((x-1)^{2})/((x+1)(x-1))-((x+1)^{2})/((x-1)(x+1))=(8)/((x-1)(x+1))`
`=>(x-1)^{2}-(x+1)^{2}=8`
`<=>x^{2}-2x+1-x^{2}-2x-1-8=0`
`<=>-4x-8=0`
`<=>-4x=8`
`<=>x=-2(TM)`
`\text{Vậy}` `S={-2}`
