`1.`
`x+3` $\vdots$ `x-3`
`<=>x-3+6` $\vdots$ `x-3`
`<=>6` $\vdots$ `x-3`
`=>x-3 ∈ Ư_((6))={±1;±2;±3;±6}`
`=>x ∈ {2;4;1;5;0;6;-3;9}`
`2.`
`3x+4` $\vdots$ `x-1`
`<=>(x-1)+(x-1)+(x-1)+7` $\vdots$ `x-1`
`<=>7` $\vdots$ `x-1`
`=>x-1 ∈ Ư_((7))={±1;±7}`
`=>x ∈ {0;2;-6;8}`
`3.`
`2x+3` $\vdots$ `x-3`
`<=>(x-3)+(x-3)+9` $\vdots$ `x-3`
`<=>9` $\vdots$ `x-3`
`=>x-3 ∈ Ư_((9))={±1;±3;±9}`
`=>x ∈ {2;4;0;6;-6;12}`