Question

a) 2 ⋅ (2x - 1) -6 ⋅ (1 - 2x) = 2 ⋅ (4x -5)
d) 10 ⋅ (100 - x) + 2x = 3 ⋅ (x + 9) - 28
b) 2x + 3 ⋅ (x - 2) = 7x + 34
e) 5 ⋅ (x + 60) - 400,7 = 8 ⋅ (x - 40)
c) 4 ⋅ (x - 2) = 4 + 2 ⋅ (x - 1)
f) 7 ⋅ (2x - 50) - 4x = 10 ⋅ (51,9 - 0,1x)

Answer 1

Resposta:

a) 2 ⋅ (2x - 1) -6 ⋅ (1 - 2x) = 2 ⋅ (4x -5)

$4x - 2 - 6 + 12x = 8x - 10 \\ 16x - 8 - 8x + 10 = 0 \\ 8x + 2 = 0 \\ 8x = - 2 \\ \\ x = - \frac{2}{8} \div (2) \\ \\ x = - \frac{1}{4}$

b) 2x + 3 ⋅ (x - 2) = 7x + 34

$2x + 3x - 6 = 7x + 34 \\ 5x - 6 - 7x - 34 = 0 \\ - 2x - 40 = 0 \\ - 2x = 40 \times ( - 1) \\ 2x = - 40 \div (2) \\ x = - 20$

c) 4 ⋅ (x - 2) = 4 + 2 ⋅ (x - 1)

$4x - 8 = 4 + 2x - 2 \\ 4x - 8 - 4 - 2x + 2 = 0 \\ 2x - 10 = 0 \\ 2x = 10 \div (2) \\ x = 5$

d) 10 ⋅ (100 - x) + 2x = 3 ⋅ (x + 9) - 28

$1000 - 10x + 2x = 3x + 27 - 28 \\ 1000 - 8x - 3x - 27 + 28 = 0 \\ 1001 - 11x = 0 \\ - 11x = - 1001 \times ( - 1) \\ 11x = 1001 \div (11) \\ x = 91$

e) 5 ⋅ (x + 60) - 400,7 = 8 ⋅ (x - 40)

$5x + 300 - 400.7 = 8x - 320 \\ 5x - 100.7 - 8x + 320 = 0 \\ - 3x + 219.3 = 0 \\ - 3x = - 219.3 \times ( - 1) \\ 3x = 219.3 \div (3) \\ x = 73.1$

f) 7 ⋅ (2x - 50) - 4x = 10 ⋅ (51,9 - 0,1x)

$14x - 350 - 4x = 519 - 1 \\ 10x - 350 = 518 \\ 10x - 350 - 518 = 0 \\ 10x - 868 = 0 \\ 10x = 868 \\ \\ x = \frac{868}{10} \\ \\ x = 86.8$

Answer 2

Resposta:

a)40/12 c)10/2

Explicação passo a passo: