Ta có : A=B
$\Rightarrow$ (x+2).(x-2)+ $3x^{2}$ = $(2x+1)^{2}$ +2x
$\Rightarrow$ ( $x^{2}$-4) + $3x^{2}$ = $4x^{2}$ + 4x + 1 +2x
$\Rightarrow$ $x^{2}$-4 + $3x^{2}$= $4x^{2}$ + 4x + 1 +2x
$\Rightarrow$ $4x^{2}$ - 4 = $4x^{2}$ + 6x +1
$\Rightarrow$ $4x^{2}$ - $4x^{2}$ -6x = 4 +1
$\Rightarrow$ -6x=5
$\Rightarrow$ x= $\frac{-5}{6}$
Vậy để A=B thì x = $\frac{-5}{6}$