\(\dfrac{21}{5}+3:\left|\dfrac{x}{4}-\dfrac{2}{3}\right|=6,3\)
<=> \(\left[{}\begin{matrix}\dfrac{21}{5}+3:\left[-\left(\dfrac{x}{4}-\dfrac{2}{3}\right)\right]=6,3\\\dfrac{21}{5}+3:\left(\dfrac{x}{4}-\dfrac{2}{3}\right)=6,3\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\dfrac{21}{5}+3:\left(\dfrac{-x}{4}+\dfrac{2}{3}\right)=6,3\\\dfrac{21}{5}+\dfrac{12}{x}-\dfrac{9}{2}=6,3\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\dfrac{21}{5}+\dfrac{-12}{x}+\dfrac{9}{2}=6,3\\\dfrac{12}{x}=6,3-\dfrac{21}{5}+\dfrac{9}{2}\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\dfrac{-12}{x}=6,3-\dfrac{21}{5}-\dfrac{9}{2}\\\dfrac{12}{x}=\dfrac{33}{5}\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}\dfrac{-12}{x}=\dfrac{-12}{5}\\x=\dfrac{20}{11}\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=5\\x=\dfrac{20}{11}\end{matrix}\right.\)