Question

Modul de x+3 =modul de 2x-5
Ajutor repede

Answer 1

$|x + 3| = |2x - 5| \\ \\ x + 3 = 2x - 5 \\ \\ x - 2x + 3 = - 5 \\ \\ x - 2x = - 5 - 3 \\ \\ - x = - 5 - 3 = - 8 \\ \\ x = 8 \\ \\ x + 3 = - (2x - 5) \\ \\ x + 3 = - 2x + 5 \\ \\ x + 2x + 3 = 5 \\ \\ x + 2x = 5 - 3 \\ \\ 3x = 5 - 3 = 2 \\ \\ x = \frac{2}{3} \\ \\ = > x_{1} = \frac{2}{3} \\ \\ \: \: \: \: \: \: \: \: x_{2} = 8$