Question

\(\dfrac{x+2014}{2}+\dfrac{2x+4028}{7}=\dfrac{x+2014}{5}+\dfrac{x+2014}{6}\)

Answer 1

\(\dfrac{x+2014}{2}+\dfrac{2\left(x+2014\right)}{7}=\dfrac{x+2014}{5}+\dfrac{x+2014}{6}\)

\(\left(x+2014\right)\left(\dfrac{1}{2}+\dfrac{2}{7}\right)=\left(x+2014\right)\left(\dfrac{1}{5}+\dfrac{1}{6}\right)\)

\(\left(x+2014\right)\dfrac{11}{14}=\left(x+2014\right)\dfrac{11}{30}\)

Dấu ''=''↔x=-2014