a) 3(x-1)-7=15 b) 7(x-4=2x-3 c) 3(x-2)=4(3-x) d) 2(3x-1)=4(3x+2)
Soluções para a tarefa
a)
3.(2x + 3) - 4.(x - 1) = 3
6x + 9 - 4x + 4 = 3
2x + 13 = 3
2x = 3 - 13
2x = - 10
x = -10/2
x = - 5
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B)
7.(x - 1) - 2.(x - 5) = x - 5
7x - 7 - 2x + 10 = x - 5
7x - 2x - 7 + 10 = x - 5
5x + 3 = x - 5
5x - x = - 5 - 3
4x = - 8
x = -8/4
x = - 2
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C)
2.(3 - x) = 3.(x - 4) + 15
6 - 2x = 3x - 12 + 15
6 - 2x = 3x + 3
6 - 3 = 3x + 2x
3 = 5x
5x = 3
x = 3/5
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D)
3.(5 - x) - 3.(1 - 2x) = 42
15 - 3x - 3 + 6x = 42
12 + 3x = 42
3x = 42 - 12
3x = 30
x = 30/3
x = 10
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E)
(4x + 6) - 2x = (x - 6) + 10 + 14
4x + 6 - 2x = x - 6 + 24
2x + 6 = x + 18
2x - x = 18 - 6
x = 12
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F)
(x - 3) - (x + 2) + 2.(x - 1) - 5 = 0
x - 3 - x - 2 + 2x - 2 - 5 = 0
- 5 + 2x - 7 = 0
2x - 5 - 7 = 0
2x - 12 = 0
2x = 12
x = 12/2
x = 6
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G)
3x - 2.(4x - 3) = 2 - 3.(x - 1)
3x - 8x + 6 = 2 - 3x + 3
- 5x + 6 = 5 - 3x
6 - 5 = - 3x + 5x
1 = 2x
2x = 1
x = 1/2
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H)
3.(x - 1) - (x - 3) + 5.(x - 2) = 18
3x - 3 - x + 3 + 5x - 10 = 18
3x - x + 5x - 10 = 18
2x + 5x = 18 + 10
7x = 28
x = 28/7
x = 4
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I)
5.(x - 3) - 4.(x + 2) = 2 + 3.(1 - 2x)
5x - 15 - 4x - 8 = 2 + 3 - 6x
x - 23 = 5 - 6x
x + 6x = 5 + 23
7x = 28
x = 28/7
x = 4