$\text{Đáp án + Giải thích các bước giải:}$
`(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)/(2014))+((x-2)/(2015)-(2015)/(2015))=((x-1)/(1008)-(2016)/(1008))+((x)/(2017)-(2017)/(2017))`
`=>(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)`
`=>(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`
