Question

Answer 1

\(\dfrac{x+2014}{2}+\dfrac{2x+4028}{7}=\dfrac{x+2014}{5}+\dfrac{x+2014}{6}\\ \Rightarrow\dfrac{x+2014}{2}+\dfrac{x+2014}{7}-\dfrac{x+2014}{5}-\dfrac{x+2014}{6}=0\\ \Rightarrow\left(x+2014\right)\left(\dfrac{1}{2}+\dfrac{1}{7}-\dfrac{1}{5}-\dfrac{1}{6}\right)=0\\\Rightarrow x+2014=0\left(\dfrac{1}{2}+\dfrac{1}{7}-\dfrac{1}{5}-\dfrac{1}{6}\ne0\right)\\ \Rightarrow x=0-2014\\ \Rightarrow x=-2014\)

Chọn `x=-2014`

Answer 2

Chọn \(x=-2014\)