Question

1)Resolva as seguintes equaçoes
a) 4x-1=3(x-1)
b)3(x-2)=2x-4
c)2(x-1)=3x+4
d)3(x-1)-7=15
e)7(x-4)=2x-3
f)3(x-2)=4(3-x)
g)3(3x-1)=2(3x+2)
h)7(x-2)=5(x+3)
i)3(2x-1)= -2(x+3)
j)5x-3(x+2)=15

Answer 1

a)
4x - 1 = 3.(x - 1)
4x - 1 = 3x - 3
4x - 3x = - 3 + 1
x = - 2

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b)
3.(x - 2) = 2x - 4
3x - 6 = 2x - 4
3x - 2x = - 4 + 6
x = 2

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c)
2.(x - 1) = 3x + 4
2x - 2 = 3x + 4
- 2 - 4 = 3x - 2x
- 6 = x
x = - 6

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d)
3.(x - 1) - 7 = 15
3x - 3 - 7 = 15
3x - 10 = 15
3x = 15 + 10
3x = 25
x = 25/3

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e)
7.(x - 4) = 2x - 3
7x - 28 = 2x - 3
7x - 2x = - 3 + 28
5x = 25
x = 25/5
x = 5

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f)
3.(x - 2) = 4(3 - x)
3x - 6 = 12 - 4x
3x + 4x = 12 + 6
7x = 18
x = 18/7

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g)
3.(3x - 1) = 2.(3x + 2)
9x - 3 = 6x + 4
9x - 6x = 4 + 3
3x = 7
x = 7/3

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h)
7.(x - 2) = 5.(x + 3)
7x - 14 = 5x + 15
7x - 5x = 1
2x = 1
x = 1/2

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i)
3.(2x - 1) = - 2.(x + 3)
6x - 3 = - 2x - 6
6x + 2x = - 6 + 3
8x = - 3
x = - 3/8

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j)
5x - 3.(x + 2) = 15
5x - 3x - 6 = 15
2x - 6 = 15
2x = 15 + 6
2x = 21
x = 21/2

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