Đáp án:
Giải thích các bước giải:
$a) |5x-4|=|x+2|$
$⇔$\(\left[ \begin{array}{l}5x-4=x+2\\5x-4=-x-2\end{array} \right.\)
$⇔$\(\left[ \begin{array}{l}4x=6\\6x=2\end{array} \right.\)
$⇔$\(\left[ \begin{array}{l}x=\frac{3}{2}\\x=\frac{1}{3}\end{array} \right.\)
$ $
$b) |2x-3|-|3x+2|=0$
$⇔|2x-3|=|3x+2|$
$⇔$\(\left[ \begin{array}{l}2x-3=3x+2\\2x-3=-3x-2\end{array} \right.\)
$⇔$\(\left[ \begin{array}{l}x=-5\\x=\frac{1}{5}\end{array} \right.\)