\(\frac{x-2}{2016}+\frac{x-3}{2017}+\frac{x-4}{2018}+3=0\\ \Leftrightarrow\left(\frac{x-2}{2016}+1\right)+\left(\frac{x-3}{2017}+1\right)+\left(\frac{x-4}{2018}+1\right)=0\\ \Leftrightarrow\frac{x+2014}{2016}+\frac{x+2014}{2017}+\frac{x+2014}{2018}=0\\ \Leftrightarrow\left(x+2014\right)\left(\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\right)=0\\ Vì\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\ne0\\ \Rightarrow x+2014=0\\ \Leftrightarrow x=-2014\\ Vậy...\)
\(\frac{x-2}{2016}+1+\frac{x-3}{2017}+1+\frac{x-4}{2018}+1+3-3=0\)
\(\frac{x-2014}{2016}+\frac{x-2014}{2017}+\frac{x-2014}{2018}=0\)
\(\left(x-2014\right)\left(\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\right)=0\)
⇒x-2014=0➞x=2014
\(\frac{x-2}{2016}+\frac{x-3}{2017}+\frac{x-4}{2018}+3=0\)
\(\Rightarrow\left(\frac{x-2}{2016}+1\right)+\left(\frac{x-3}{2017}+1\right)+\left(\frac{x-4}{2018}+1\right)=0\)
\(\Rightarrow\frac{x+2014}{2016}+\frac{x+2014}{2017}+\frac{x+2014}{2018}=0\)
\(\Rightarrow\left(x+2014\right)\cdot\left(\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\right)=0\)
Vì \(\frac{1}{2016}+\frac{1}{2017}+\frac{1}{2018}\ne0\)
\(\Rightarrow x+2014=0\)
\(\Rightarrow x=-2014\)
Vậy x= -2014
