\(\left|-3x\right|=4\)
\(\Leftrightarrow3\left|x\right|=4\)
\(\Leftrightarrow\left|x\right|=\dfrac{4}{3}\)
\(\Rightarrow x=\pm\dfrac{4}{3}\)
\(\left|-3x\right|=4\)
\(\Rightarrow-3x=\pm4\)
\(\Rightarrow\left[{}\begin{matrix}-3x=4\\-3x=-4\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=\dfrac{4}{3}\end{matrix}\right.\)