a: |5x-4|=|x+2|
=>\(\left[{}\begin{matrix}5x-4=x+2\\5x-4=-x-2\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}4x=6\\6x=2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
b: \(\left|2+3x\right|=\left|4x-3\right|\)
=>\(\left[{}\begin{matrix}4x-3=3x+2\\4x-3=-3x-2\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=5\\7x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{1}{7}\end{matrix}\right.\)
c: \(\left|2x-3\right|-\left|3x+2\right|=0\)
=>\(\left|3x+2\right|=\left|2x-3\right|\)
=>\(\left[{}\begin{matrix}3x+2=2x-3\\3x+2=-2x+3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-5\\5x=1\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=-5\\x=\dfrac{1}{5}\end{matrix}\right.\)
