$\boxed{\text{@dongha8284}}$

`a)5x-2=3-2x`

`<=>5x+2x=3+2`

`<=>7x=5`

`<=>x=5/7`

Vậy `S={5/7}`

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`b)2(3x+2)-5x=7-10x`

`<=>6x+4-5x=7-10x`

`<=>x+4=7-10x`

`<=>x+10x=7-4`

`<=>11x=3`

`<=>x=3/11`

Vậy `S={3/11}`

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`c)(x+4)(5x+9)-x-4=0`

`<=>5x^2+9x+20x+36-x-4=0`

`<=>5x^2+28x+32=0`

`<=>5x^2+20x+8x+32=0`

`<=>5x(x+4)+8(x+4)=0`

`<=>(x+4)(5x+8)=0`

`<=>`$\left[\begin{matrix} x+4=0\\ 5x+8=0\end{matrix}\right.$

`<=>`$\left[\begin{matrix} x=-4\\ x=-8/5\end{matrix}\right.$

Vậy `S={-4;-8/5}`

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`d)ĐKXĐ:x` $\ne$ `3;-2`

`5/(x-3)-2/(x+2)=(8x+5)/((x-3)(x+2))`

`<=>(5(x+2))/((x-3)(x+2))-(2(x-3))/((x-3)(x+2))=(8x+5)/((x-3)(x+2))`

`=>5(x+2)-2(x-3)=8x+5`

`<=>5x+10-2x+6=8x+5`

`<=>3x+16=8x+5`

`<=>3x-8x=5-16`

`<=>-5x=-11`

`<=>x=(11)/5` `(tm)`

Vậy `S={11/5}`

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