Question

1/3.x+2/5.(x+1)=0

Answer 1

\(\dfrac{1}{3}.x+\dfrac{2}{5}\left(x+1\right)=0\)

\(\dfrac{1}{3}x+\dfrac{2}{5}x+\dfrac{2}{5}=0\)

\(\dfrac{11}{15}x+\dfrac{2}{5}=0\)

\(\dfrac{11}{15}x=-\dfrac{2}{5}\)

\(x=-\dfrac{6}{11}\)

Answer 2

\(\Leftrightarrow\dfrac{1}{3}x+\dfrac{2}{5}x+\dfrac{2}{5}=0\\ \Leftrightarrow\dfrac{11}{15}x=-\dfrac{2}{5}\Leftrightarrow x=-\dfrac{2}{5}\cdot\dfrac{15}{11}=-\dfrac{6}{11}\)