\(\dfrac{x+7}{2020}+\dfrac{x+6}{2021}+\dfrac{x+5}{2022}+3=0\)
\(\Rightarrow\dfrac{x+7}{2020}+1+\dfrac{x+6}{2021}+1+\dfrac{x+5}{2022}+1=0\)
\(\Rightarrow\dfrac{x+7+2020}{2020}+\dfrac{x+6+2021}{2021}+\dfrac{x+5+2022}{2022}=0\)
\(\Rightarrow\dfrac{x+2027}{2020}+\dfrac{x+2027}{2021}+\dfrac{x+2027}{2022}=0\)
\(\Rightarrow\left(x+2027\right)\left(\dfrac{1}{2020}+\dfrac{1}{2021}+\dfrac{1}{2022}\right)=0\)
`=>x+2027=0`
`=>x=-2027`
`(x+7)/(2020)+ (x+6)/(2021)+ (x+5)/(2022) + 3=0`
`⇔ (x+7)/(2020) +1+ (x+6)/(2021) +1+ (x+5)/(2022)+1 + 3= 3`
`⇔ (x+7+2020)/(2020)+ (x+6+2021)/(2021)+ (x+5+2022)/(2022) =0`
`⇔ (x+2027)/(2020)+ (x+2027)/(2021)+ (x+2027)/(2022) =0`
`⇔ (x+2027)(1/(2020)+ 1/(2021)+ 1/(2022) )=0`
`⇔ x+2027=0`
`⇔ x= -2027`
