`a)(x-3)/5=6-(1-2x)/3`
`⇔(3(x-3))/15=(90-5+10x)/15`
`⇔3x-9=90-5+10x`
`⇔3x-10x=90-5+9`
`⇔-7x=94`
`⇔x=-94/7`
Vậy `S={-94/7}`
`b)(x-1)/2+(x-1)/4=1-(2(x-1))/3`
`⇔(6x-6+3x-3)/12=(12-8x+8)/12`
`⇔6x-6+3x-3=12-8x+8`
`⇔6x+3x+8x=12+8+6+3`
`⇔17x=29`
`⇔x=29/17`
Vậy `S={29/17}`
`c)(x-1)(5x+3)=(3x-8)(x-1)`
`⇔5x+3=3x-8`
`⇔5x-3x=-8-3`
`⇔2x=-11`
`⇔x=-11/2`
Vậy `S={-11/2}`
`d)(x+2)(3-4x)=x^2+4x+4`
`⇔(x+2)(3-4x)=(x+2)^2`
`⇔3-4x=x+2`
`⇔-4x-x=2-3`
`⇔-5x=-1`
`⇔x=1/5`
Vậy `S={1/5}`