giải gấp hộ e câu bc ạ,hứa vote 5 sao ạ

Đáp án+Giải thích các bước giải:

`a)(3x-7)(x+5)=(5+x)(3-2x)`

`<=>(3x-7)(x+5)-(x+5)(3-2x)=0`

`<=>(x+5)(3x-7-3+2x)=0`

`<=>(x+5)(5x-10)=0`

`<=>`\(\left[ \begin{array}{l}x+5=0\\5x-10=0\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}x=-5\\x=2\end{array} \right.\) 

Vậy `S={-5; 2}`

$\\$

`b)\frac{-x+3}{2}=\frac{x-2}{3}`

`<=>\frac{3(-x+3)}{6}=\frac{2(x-2)}{6}`

`<=>3(-x+3)=2(x-2)`

`<=>-3x+9=2x-4`

`<=>-3x-2x=-4-9`

`<=>-5x=-13`

`<=>x=13/5`

Vậy `S={13/5}`

$\\$

`c)\frac{x-1}{x-2}+\frac{5}{x+2}=\frac{12}{x^2-4}+1(đk:x\ne-2; x\ne2)`

`<=>\frac{(x-1)(x+2)}{(x-2)(x+2)}+\frac{5(x-2)}{(x+2)(x-2)}=\frac{12}{(x-2)(x+2)}+\frac{(x+2)(x-2)}{(x-2)(x+2)}`

`=>(x-1)(x+2)+5(x-2)=12+(x+2)(x-2)`

`<=>x^2+2x-x-2+5x-10=12+x^2-4`

`<=>x^2+6x-12=8+x^2`

`<=>x^2-x^2+6x=8+12`

`<=>6x=20`

`<=>x=10/3(tm)`

Vậy `S={10/3}`