\(7,\Rightarrow\left|x-2\right|=\dfrac{8}{15}:\dfrac{4}{5}=\dfrac{2}{3}\\ \Rightarrow\left[{}\begin{matrix}x-2=\dfrac{2}{3}\\x-2=-\dfrac{2}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\\ 8,\Rightarrow\left|2x+3\right|=\dfrac{6}{7}:\dfrac{3}{7}=2\\ \Rightarrow\left[{}\begin{matrix}2x+3=2\\2x+3=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{-1}{2}\\x=-\dfrac{5}{2}\end{matrix}\right.\)
\(9,\Rightarrow\left|3x+1\right|=-\dfrac{4}{3}:\left(-2\right)=\dfrac{2}{3}\\ \Rightarrow\left[{}\begin{matrix}3x+1=\dfrac{2}{3}\\3x+1=-\dfrac{2}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{9}\\x=-\dfrac{5}{9}\end{matrix}\right.\)
7) \(\Leftrightarrow\left|x-2\right|=\dfrac{2}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=\dfrac{2}{3}\\x-2=-\dfrac{2}{3}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{8}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\)
8) \(\Leftrightarrow\left|2x+3\right|=2\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+3=2\\2x+3=-2\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=-\dfrac{5}{2}\end{matrix}\right.\)
9) \(\Leftrightarrow\left|3x+1\right|=\dfrac{2}{3}\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+1=\dfrac{2}{3}\\3x+1=-\dfrac{2}{3}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{9}\\x=-\dfrac{5}{9}\end{matrix}\right.\)
