\(\dfrac{2016+x}{2017+x}\)=\(\dfrac{2018}{2017}\)
1-\(\dfrac{2016+x}{2017+x}=1-\dfrac{2018}{2017}\)
\(\dfrac{2017+x}{2017+x}-\dfrac{2016+x}{2017+x}=\dfrac{2017}{2017}-\dfrac{2018}{2017}\)
\(\dfrac{\left(2017+x\right)-\left(2016+x\right)}{2017+x}\)=\(\dfrac{2017-2018}{2017}\)
\(\dfrac{2017+x-2016-x}{2017+x}\) = \(\dfrac{-1}{2017}\)
\(\dfrac{\left(2017-2016\right)+\left(x-x\right)}{2017+x}\)= \(\dfrac{1}{-2017}\)
\(\dfrac{1}{2017+x}\) = \(\dfrac{1}{-2017}\)
2017+x = -2017
x = (-2017)-2017
x = -4034
Vậy x = -4034