\(\dfrac{1}{3}x+\dfrac{-2}{3}x+\dfrac{-3}{15}=\dfrac{4}{5}x-1\)
\(\dfrac{1}{3}x-\dfrac{2}{3}x-\dfrac{4}{5}x+1=\dfrac{3}{15}\)
\(\left(\dfrac{1}{3}-\dfrac{2}{3}-\dfrac{4}{5}\right).x+1=\dfrac{3}{15}\)
\(\left(\dfrac{5}{15}-\dfrac{10}{15}-\dfrac{12}{15}\right).x+1=\dfrac{3}{15}\)
\(\dfrac{-17}{15}x+1=\dfrac{3}{15}\)
\(\dfrac{-17}{15}x=\dfrac{3}{15}-1\)
\(\dfrac{-17}{15}x=\dfrac{-12}{15}\)
\(x=\dfrac{-12}{15}:\dfrac{-17}{15}\)
\(x=\dfrac{-12}{15}.\dfrac{15}{-17}=\dfrac{12}{17}\)