\(\left(\dfrac{3}{7}-2x\right)^2=\dfrac{4}{9}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{7}-2x=\dfrac{2}{3}\\\dfrac{3}{7}-2x=-\dfrac{2}{3}\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}2x=-\dfrac{5}{21}\\2x=\dfrac{23}{21}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{42}\\x=\dfrac{23}{42}\end{matrix}\right.\)