\(\frac{x+1}{5x}-\frac{1}{3x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{\left(x-1\right)3-5}{15x}=\frac{-26}{5}\)
\(\Leftrightarrow\frac{3x+3-5}{15x}+\frac{26}{5}=0\Leftrightarrow\frac{3x-2+26.3x}{15x}=0\)
\(\Leftrightarrow\)\(\frac{81x-2}{15x}=0\)
\(\Rightarrow81x-2=0\Rightarrow x=\frac{2}{81}\)
x + 1/5x - 1/3x = -26/5
x(1 + 1/5 - 1/3) = -26/5
13/15x = -26/5
x = -26/5 : 13/15
x = -6