\(\Rightarrow\left|2x-3\right|=\left|3x+2\right|\\ \Rightarrow\left[{}\begin{matrix}2x-3=3x+2\\3-2x=3x+2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)
\(\left|2x-3\right|-\left|3x+2\right|=0\)
<=> \(\left|2x-3\right|=\left|3x+2\right|\)
<=> \(\left[{}\begin{matrix}2x-3=3x+2\\-2x+3=3x+2\end{matrix}\right.\)
<=> \(\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)
\(\left|2x-3\right|-\left|3x+2\right|=0\)
\(\Leftrightarrow\left|3x+2\right|=\left|2x-3\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+2=2x-3\\3x+2=-2x+3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)
