`(x+2011)/(2013)+(x+2012)/(2012)=(x+2010)/(2014)+(x+2013)/(2011)`
`⇔((x+2011)/(2013)+1)+((x+2012)/(2012)+1)=((x+2010)/(2014)+1)+((x+2013)/(2011)+1)`
`⇔(x+4024)/(2013)+(x+4024)/(2012)=(x+4024)/(2014)+(x+4024)/(2011)`
`⇔(x+4024)/(2013)+(x+4024)/(2012)-(x+4024)/(2014)-(x+4024)/(2011)=0`
`⇔(x+4024)(1/(2013)+1/(2012)-1/(2014)-1/(2011))=0`
`⇒x+4024=0`
`⇒x=-4024`