Question

a) 8.(x + 2) = 4.(x + 6)
b) 8.(x + 3) = 40
c) 12x – 14.(1 – x) – 2.(10x + 4) = 0
d) 10.(2x – 1) = 4.(x + 4)
e) 4x – 6.(4 – x) = 10 + 8.(2x + 1)
f) 10x – 20.(x – 1) = 40 – 30.(x – 2)
g) 2.(3x – 7) + 3.(x – 1) = 4.(2x – 3)
h) 6.(x – 3) + 12.(2x + 1) = 24 – 15.(x – 4)

Answer 1

Resposta:

a) 8.(x + 2) = 4.(x + 6)

$8x + 16 = 4x + 24 \\ 8x - 4x = 24 - 16 \\ 4x = 8 \\ x = \frac{8}{4} \\ x = 2$

b) 8.(x + 3) = 40

$8x + 24 = 40 \\ 8x = 40 - 24 \\ 8x = 16 \\ x = \frac{16}{8} \\ x = 2$

c) 12x – 14.(1 – x) – 2.(10x + 4) = 0

$12x - 14 + 14x - 20x - 8 = 0 \\ 26x - 22 - 20x = 0 \\ 6x = 22 \\ x = \frac{22}{6} \\ x = \frac{11}{3}$

d) 10.(2x – 1) = 4.(x + 4)

$20x - 10 = 4x + 16 \\ 20x - 4x = 16 + 10 \\ 16x = 26 \\ x = \frac{26}{16} \\ x = \frac{13}{8}$

e) 4x – 6.(4 – x) = 10 + 8.(2x + 1)

$4x - 24 + 6x = 10 + 16x + 8 \\ 10x - 24 = 16x + 18 \\ 10x - 16x = 18 + 24 \\ - 6x = 42 \\ x = \frac{42}{ - 6} \\ x = - 7$

f) 10x – 20.(x – 1) = 40 – 30.(x – 2)

$10x - 20x + 20 = 40 - 30x + 60 \\ - 10x + 20 = 100 - 30x \\ - 10x + 30x = 100 - 20 \\ 20x = 80 \\ x = \frac{80}{20} \\ x = 4$

g) 2.(3x – 7) + 3.(x – 1) = 4.(2x – 3)

$6x - 14 + 3x - 3 = 8x - 12 \\ 9x - 17 = 8x - 12 \\ 9x - 8x = - 12 + 17 \\ x = 5$

h) 6.(x – 3) + 12.(2x + 1) = 24 – 15.(x – 4)

$6x - 18 + 24x + 12 = 24 - 15x + 60 \\ 30x - 6 = 84 - 15x \\ 30x + 15x = 84 + 6 \\ 45x = 90 \\ x = \frac{90}{45} \\ x = 2$