Question

resultado de |2x-1| = |4x+3|

Answer 1

$\left|2x-1\right|=\left|4x+3\right|\\ \\ 2x-1=\pm\left(4x+3 \right )\\ \\ \begin{array}{rcl} 2x-1=4x+3&\text{ ou }&2x-1=-\left(4x+3 \right ) \end{array}$


(1) $2x-1=4x+3$

$2x-4x=3+1\\ \\ -2x=4\\ \\ x=\dfrac{4}{-2}\\ \\ x=-2$


(2) $2x-1=-\left(4x+3 \right )$

$2x-1=-4x-3\\ \\ 2x+4x=-3+1\\ \\ 6x=-2\\ \\ x=\dfrac{-2}{6}\\ \\ x=-\dfrac{1}{3}$


$\boxed{\begin{array}{rcl} x=-2&\text{ ou }&x=-\dfrac{1}{3} \end{array}}$