2013*x +x* 1/2013 = 1/2013 + 2013

 x* (2013+1/2013)=1/2013+2013

x = 1

X=1 phải ko

X=1 phai ko

Xx(2013+1/2013)=1/2013+2013

X=(1/2013+2013):(1/2013+2013)

X=1

\(2013.x+x.\frac{1}{2013}-2013=\frac{1}{2013}\)

\(x.\left(2013+\frac{1}{2013}\right)=\frac{1}{2013}+2013\)

\(x=\left(\frac{1}{2013}+2013\right):\left(2013+\frac{1}{2013}\right)\)

\(x=1\)

chúc bạn học tốt

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\frac{1}{2013}+\frac{2}{2012}+...+\frac{2012}{2}+\frac{2013}{1}\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\left(\frac{1}{2013}+1\right)+\left(\frac{2}{2012}+1\right)+...+\left(\frac{2012}{2}+1\right)+1\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\frac{2014}{2013}+\frac{2014}{2012}+...+\frac{2014}{2}+\frac{2014}{2014}\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=2014.\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)\)

=> x = 2014

Đề bài bn chép sai 1 chút nên mk sửa lại và lm như trên

cam on ban

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\frac{1}{2013}+\frac{2}{2012}+...+\frac{2012}{2}+\frac{2013}{1}\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\left(\frac{1}{2013}+1\right)+\left(\frac{2}{2012}+1\right)+...+\left(\frac{2012}{2}+1\right)+1\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=\frac{2014}{2013}+\frac{2014}{2012}+...+\frac{2014}{2}+\frac{2014}{2014}\)

\(\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right).x=2014.\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)\)

\(\Rightarrow x=2014\)