$\text{|2x + 3| - |4x - 3| = 0}$
$\text{|2x + 3| = |4x - 3|}$
$\text{⇒2x + 3 = 4x - 3 hoặc 2x + 3 = - (4x - 3)}$
$\text{TH1:2x - 4x = -3 - 3}$
$\text{ -2x = -6}$
$\text{ x = -6 ÷ (-2)}$
$\text{x = 3}$
$\text{TH2: 2x + 3 = - (4x - 3) }$
$\text{2x + 3 = -4x + 3}$
$\text{2x + 4x = 3 - 3}$
$\text{8x = 0}$
$\text{x = 0 ÷ 8}$
$\text{x = 0}$
$\text{Vậy x∈{3; 0}}$