\(-\dfrac{22}{15}x+\dfrac{1}{3}=\dfrac{7}{15}\\-\dfrac{22}{15}x=\dfrac{7}{15}-\dfrac{1}{3}\\ -\dfrac{22}{15}x=\dfrac{2}{15}\\ x=\dfrac{2}{15}:\left(-\dfrac{22}{15}\right)\\ x=-\dfrac{1}{11}\)
\(-\dfrac{22}{15}x+\dfrac{1}{3}=\left|-\dfrac{2}{3}+\dfrac{1}{5}\right|\\ \Rightarrow-\dfrac{22}{15}x+\dfrac{1}{3}=\left|-\dfrac{7}{15}\right|\\ \Rightarrow-\dfrac{22}{15}x+\dfrac{1}{3}=\dfrac{7}{15}\\ \Rightarrow-\dfrac{22}{15}x=\dfrac{7}{15}-\dfrac{1}{3}\\ \Rightarrow-\dfrac{22}{15}x=\dfrac{2}{15}\\ \Rightarrow x=\dfrac{2}{15}:\dfrac{-22}{15}\\ \Rightarrow x=\dfrac{-1}{11}\)