Question

a) 4x+4=12
b) 15-5x-4x=18
c) 9x-6x+6=15
d) 3,5x+8=2.(X+7)
e) -3.(x-5)-2.(2x+1)=-8
f) 7x-7-2x+10=x-5
g)7.(x-2)=5.(x+3)
h) 2.(x-5)+4.(x-1)=0
i) 3.(2x-1)=-2.(x+3)

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Answer 1

Resposta:

a) 4x+4=12

$4x = 12 - 4 \\ 4x = 8 \div (4) \\ x = 2$

b) 15-5x-4x=18

$1 5 - 9x = 18 \\ 15 - 9x - 18 = 0 \\ - 3 - 9x = 0 \\ - 9x = 3 \times ( - 1) \\ 9x = - 3 \div (3) \\ 3x = - 1 \\ \\ x = - \frac{1}{3}$

c) 9x-6x+6=15

$3x + 6 = 15 \\ 3x + 6 - 15 = 0 \\ 3x - 9 = 0 \\ 3x = 9 \div (3) \\ x = 3$

d) 3,5x+8=2.(X+7)

$3.5x + 8 = 2x + 14 \\ 3.5x + 8 - 2x - 14 = 0 \\ 1.5x - 6 = 0 \\ 1.5x = 6 \div (1.5) \\ x = 4$

e) -3.(x-5)-2.(2x+1)=-8

$- 3x + 15 - 4x - 2 = - 8 \\ - 7x + 13 = - 8 \\ - 7x + 13 + 8 = 0 \\ - 7x + 21 = 0 \\ - 7x = - 21 \times ( - 1) \\ 7x = 21 \div (7) \\ x = 3$

f) 7x-7-2x+10=x-5

$7x - 7 - 2x + 10 = x - 5 \\ 5x + 3 = x - 5 \\ 5x + 3 - x + 5 = 0 \\ 4x + 8 = 0 \\ 4x = - 8 \div (4) \\ x = - 2$

g)7.(x-2)=5.(x+3)

$7x - 14 = 5x + 15 \\ 7x - 14 - 5x - 15 = 0 \\ 2x - 29 = 0 \\ 2 x = 29 \\ \\ x = \frac{29}{2}$

h) 2.(x-5)+4.(x-1)=0

$2x - 10 + 4x - 4 = 0 \\ 6x - 14 = 0 \\ 6x = 14 \div (2) \\ 3x = 7 \\ \\ x = \frac{7}{3}$

i) 3.(2x-1)=-2.(x+3)

$6x - 3 = - 2x - 6 \\ 6x - 3 + 2x + 6 = 0 \\ 8x + 3 = 0 \\ 8x = - 3 \\ \\ x = - \frac{3}{8}$