Question

Lm hộ mik nhé mik đang cần gấp

x + 2/2018 + x +3/2017 + x + 4/2016 = -3

Answer 1

\(\frac{x+2}{2018}+\frac{x+3}{2017}+\frac{x+4}{2016}=-3\)

\(\Rightarrow\left(\frac{x+2}{2018}+1\right)+\left(\frac{x+3}{2017}+1\right)+\left(\frac{x+4}{2016}+1\right)=0\)

\(\Rightarrow\frac{x+2020}{2018}+\frac{x+2020}{2017}+\frac{x+2020}{2016}=0\)

\(\Rightarrow\left(x+2020\right).\left(\frac{1}{2018}+\frac{1}{2017}+\frac{1}{2016}\right)=0\)

\(\Rightarrow x+2020=0\Rightarrow x=2020\)