\(1-\frac{1}{x+20}=\frac{1005}{2011}\)
\(\frac{1}{x+20}=1-\frac{1005}{2011}\)
\(\frac{1}{x+20}=\frac{1006}{2011}\)
=>1006.(x+20)=2011.1
=>1006x+20120=2011
1006x=2011-20120=-18109
x=\(\frac{-18109}{1006}\)
\(1-\frac{1}{\left(x+20\right)}=\frac{1005}{2011}\)
\(\Rightarrow\frac{1}{\left(x+20\right)}=1-\frac{1005}{2011}=\frac{1006}{2011}\)
\(\Rightarrow1:\left(x+20\right)=\frac{1006}{2011}\)
\(\Rightarrow x+20=\frac{2011}{1006}\)
\(\Rightarrow x=\frac{2011}{1006}-20=\frac{-18109}{1006}\)
\(1-\frac{1}{\left(x+20\right)}=\frac{1005}{2011}\)
\(1\div x+20=1-\frac{1005}{2011}\)
\(1\div x+20=\frac{1006}{2011}\)
\(1006\times\left(x+20\right)=2011\)
\(1006x\times20120=2011\)
\(1006x=2011-20120\)
\(1006x=-18109\)
=> Mẫu số = 1006 , Tử số = 18109
\(\Rightarrow x=-\frac{18109}{1006}\)