$\text{a) |2x-3| - |3x+2| = 0}$
$\text{⇒ \(\left[ \begin{array}{l}2x-3=0\\3x+2=0\end{array} \right.\) }$
$\text{⇒ \(\left[ \begin{array}{l}x=\frac{3}{2}\\x=-\frac{2}{3}\end{array} \right.\) }$
$\text{b) |x+6| -9 = 2x}$
$\text{⇔ |x+6| = 2x+9}$
$\text{⇔ $\left \{ {{2x+9 \geq 0} \atop {\left[ \begin{array}{l}x+6=2x+9\\x+6=-2x-9\end{array} \right. }} \right.$ }$
$\text{⇔ $\left \{ {{x \geq -\frac{9}{2} } \atop {\left[ \begin{array}{l}x=3\\x=3\end{array} \right. }} \right.$ }$
$\text{⇔ $\left \{ {{x \geq -\frac{9}{2}} \atop {x=3 (nhận)}} \right.$ }$
$\text{⇔ x=3}$
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