1/3x + 2/5.(x+1)=0
=> 1/3x + 2/5x + 2/5.1 = 0
=> x.(1/3 + 2/5 ) +2/5 = 0
=> x.11/15 + 2/5 = 0
=> x.11/15 = 0 - 2/5
=> x.11/15 = -2/5
=> x = -2/5 : 11/15
=> x = -6/11
Vậy x = -6/11
\(\frac{1}{3x}+\frac{2}{5}\left(x+1\right)=0\)
\(\Rightarrow\frac{1}{3x}+\frac{2}{5x}+\frac{2}{5}=0\)
\(\Rightarrow\frac{1}{x}\left(\frac{1}{3}+\frac{2}{5}\right)+\frac{2}{5}=0\)
\(\Rightarrow\frac{1}{x}\left(\frac{1}{3}+\frac{2}{5}\right)=-\frac{2}{5}\)
\(\Rightarrow\frac{11}{15}=-\frac{2x}{5}\)
\(\Rightarrow x=\frac{11}{15}:\left(-\frac{2}{5}\right)\)
\(\Rightarrow x=-\frac{11}{6}\)
\(\frac{1}{3x}+\frac{2}{5}\left(x+1\right)=0\)
\(\Rightarrow\frac{1}{3x}+\frac{2x}{5}+\frac{2}{5}=0\)
\(\Rightarrow\frac{1}{3x}+\frac{2x}{5}+\frac{2}{5}-\frac{1}{3x}=0-\frac{1}{3x}\)
\(\Rightarrow\frac{2x+2}{5}=-\frac{1}{3x}\)
\(\Rightarrow\frac{6x^2+6x}{15x}=\frac{-5}{15x}\)
\(\Rightarrow6+6x=-5\)
\(\Rightarrow x=\frac{-5-6}{6}\)
\(\Rightarrow x=-\frac{11}{6}\)