Question

2) Resuelva los siguientes ejercicios
a) 3(2x + 5) = 5 + x
b) 6 (x + 6) = 2(x – 2)
c) x – (2x + 1) = 8 – (3x + 3)

Answer 1

¡Hola!

$a) 3(2x + 5) = 5 + x \\ 6x + 15 = 5 + x \\ 6x - x = 5 - 15 \\ 5x = - 10 \\ x = \dfrac{ - 10}{5} \\ \boxed{ \boldsymbol{x = - 2}}$

$b) 6 (x + 6) = 2(x – 2) \\ 6x + 36 = 2x - 4 \\ 6x - 2x = - 4 - 36 \\ 4x = - 40 \\ x = \dfrac{ - 40}{4} \\ \boxed{ \boldsymbol{x = - 10}}$

$c) x – (2x + 1) = 8 – (3x + 3) \\ x - 2x - 1 = 8 - 3x - 3 \\ - x - 1 = 5 - 3x \\ - x + 3x = 5 + 1 \\ 2x = 6 \\ x = \dfrac{6}{2} \\ \boxed{ \boldsymbol{x = 3}}$

Saludos.