x=2016

Thanh Huyền giải ra giúp mik với ạ !!!

mk ko biết viết ps sợ bạn khó nhìn

(x-1)/2015 + x/2014 + 1/503 - (x-3)/2013 - x/2012 - 1/1007 =0

(x-2016)/2015  + (x-2016)/2014 - (x-2016)/2012 - (x-2016)/2013 = 0

(x-2016) ( 1/2015 + 1/2016 - 1/2013 - 1/2012) = 0

Mà 1/2015 + 1/2016 - 1/2013 - 1/2012 khác 0

Suy ra x -2016=0

x=2016

Chỗ nào thắc mắc nhớ hỏi mik nhe!

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\(\frac{x+4}{2012}+\frac{x+3}{2013}=\frac{x+2}{2014}+\frac{x+1}{2015}\)

=> \(\frac{x+4}{2012}+1+\frac{x+3}{2013}+1=\frac{x+2}{2014}+1+\frac{x+1}{2015}+1\)

=> \(\frac{x+2016}{2012}+\frac{x+2016}{2013}=\frac{x+2016}{2014}+\frac{x+2016}{2015}\)

=> \(\frac{x+2016}{2012}+\frac{x+2016}{2013}-\frac{x+2016}{2014}-\frac{x+2016}{2015}=0\)

=> \(\left(x+2016\right).\left(\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}-\frac{1}{2015}\right)=0\)

Vì \(\frac{1}{2012}>\frac{1}{2014};\frac{1}{2013}>\frac{1}{2015}\)

=> \(\frac{1}{2012}+\frac{1}{2013}-\frac{1}{2014}-\frac{1}{2015}\ne0\)

=> \(x+2016=0\)

=> \(x=-2016\)