Question

1- Resolva as equações abaixo: a) 6 – 3x = – 10 – 4x b) 2.(3x – 5) = 14 c) 4x + 3 = – 19 d) 5x + 2 = 2x – 1 e) 3 – 2.(x + 3) = x – 18

Answer 1

a)

$6 - 3x = - 10 - 4x \\ - 3x + 4x = - 10 - 6 \\ x \: = - 16$

b)

$2.(3x - 5) = 14 \\ 6x - 10 = 14 \\ 6x = 14 + 10 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4$

c)

$4x + 3 = - 19 \\ 4x = - 19 - 3 \\ 4x = - 22 \\ x = \frac{ - 22}{4} \\ x = - 5.5$

d)

$5x + 2 = 2x - 1 \\ 5x - 2x = - 1 - 2 \\ 3x = - 3 \\ x = \frac{ - 3}{3} \\ x = - 1$

e)

$3 - 2.(x + 3) = x - 18 \\ 3 - 2x + 6 = x - 18 \\ - 2x - x = - 18 - 3 - 6 \\ - 3x = - 27 \\ x = \frac{ - 27}{ - 3} \\ x = 9$