$\text{Đáp án + Giải thích các bước giải:}$
`(x-3)/(2014)+(x-2)/(2015)=(x-1)/(1008)+(x)/(2017)-1`
`<=>((x-3)/(2014)-1)+((x-2)/(2015)-1)=((x-1)/(1008)-2)+((x)/(2017)-1)`
`<=>(x-3-2014)/(2014)+(x-2-2015)/(2015)=(x-1-2016)/(1008)+(x-2017)/(2017)`
`<=>(x-2017)/(2014)+(x-2017)/(2015)-(x-2017)/(1008)-(x-2017)/(2017)=0`
`<=>(x-2017)((1)/(2014)+(1)/(2015)-(1)/(1008)-(1)/(2017))=0`
`<=>x-2017=0` `\text{. Do}` `(1)/(2014)+(1)/(2015)-(1)/(1008)-(1)/(2017)\ne0`
`<=>x=2017`
`\text{Vậy}` `S={2017}`
