Question

Resolva as equações abaixo:
a) 3 + 4x - 9 = 6x - 4 + 12
b) -5 + 3x + 4 = 11 + 9x
c)3(x + 2) = 15
d)-2(-m + 2) = 3(2m + 1)
e) 12x + 3(x - 1) = -2(x + 1) + 16
f)-2(y + 4) = -10 + 9 - 1)
g)5(x-4) = -3 + 9(x - 1)
h)-5(k - 4) + 4 = 2(-2k-2)​

Answer 1

a) 3 + 4x - 9 = 6x - 4 + 12

-6 + 8 = 6x - 4x

2x = 2

x = 1

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b) -5 + 3x + 4 = 11 + 9x

-1 - 11 = 9x - 3x

6x = -12

x = -2

_______________________

c)3(x + 2) = 15

3x + 6 = 15

3x = 9

x = 3

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d)-2(-m + 2) = 3(2m + 1)

2m - 4 = 6m + 3

-4 - 3 = 6m - 2m

4m = -7

m = -7/4

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e) 12x + 3(x - 1) = -2(x + 1) + 16

12x + 3x - 3 = -2x -2 + 16

15x + 2x = 14 + 3

17x = 17

x = 1

_______________________

f)-2(y + 4) = -10 + 9 - 1

-2y -8 = -2

-2y = -2 + 8

y = 6/-2

y = -3

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g)5(x-4) = -3 + 9(x - 1)

5x - 20 = -3 + 9x -9

-20 + 12 = 9x - 5x

-8 = 4x

x = -8/4

x = -2

_______________________

h)-5(k - 4) + 4 = 2(-2k-2)​

-5k +20 + 4 = -4k -4

24 + 4 = -4k + 5k

k = 28