Giúp mk vs mn ơi Giải phương trình toán 8 nha mn x+2/2011 +x+2017/4 = x+4/2009 +x+2019/6 Mk đang cần gấp mn giúp mk mk sẽ vote 5 sao

Đáp án:

Giải thích các bước giải:

$\frac{x+2}{2011}+\frac{x+2017}{4}=\frac{x+4}{2009}+\frac{x+2019}{6}$

$=>(\frac{x+2}{2011}+1)+(\frac{x+2017}{4}-1)=(\frac{x+4}{2009}+1)+(\frac{x+2019}{6}-1)$

$=>\frac{x+2+2011}{2011}+\frac{x+2017-4}{4}=\frac{x+4+2009}{2009}+\frac{x+2019-6}{6}$

$=>\frac{x+2013}{2011}+\frac{x+2013}{4}=\frac{x+2013}{2009}+\frac{x+2013}{6}$

$=>\frac{x+2013}{2011}+\frac{x+2013}{4}-\frac{x+2013}{2009}-\frac{x+2013}{6}=0$

$=>(x+2013).(\frac{1}{2011}+\frac{1}{4}-\frac{1}{2009}-\frac{1}{6})=0$

$=>x+2013=0$

$=>x=-2013$