\(\dfrac{1}{3}x+\dfrac{2}{5}\left(x-1\right)=0\)
\(\Leftrightarrow\dfrac{1}{3}x+\dfrac{2}{5}x-\dfrac{2}{5}=0\)
\(\Rightarrow\dfrac{11}{15}x-\dfrac{2}{5}=0\)
\(\Rightarrow\dfrac{11}{15}x=\dfrac{-2}{5}\)
\(\Rightarrow x=\dfrac{-2}{5}.\dfrac{15}{11}\)
\(\Rightarrow x=\dfrac{-6}{11}\)
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<=> 5x + 6(x-1) = 0
<=> 5x + 6x - 6 = 0
<=> 11x - 6 =0
11x = 0 +6 = 6
=> x = 6/11
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