Question

Como se resolva as equações:
a) -3( x+ 1) = 2 (2x - 3)
b) - (x - 1 ) + (3 - 2x) = 0
c) - (x + 1) - ( 2 (x - 3) = 0
d) 1 - x + 2 (-5 + 3x) + - X
e) 7 (2x + 1) - 6 (x + 8) + 12
f) 5 (3 + 4 x) - 6 (7 x - 5) = 2x - 1

Answer 1

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

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b)
- (x - 1 ) + (3 - 2x) = 0
- x + 1 + 3 - 2x = 0
- 3x + 4 = 0
- 3x = - 4 (-1)
3x = 4
x = 4/3

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c)
- (x + 1) -  2 (x - 3) = 0
- x - 1 - 2x + 6 = 0
- 3x + 5 = 0
- 3x = - 5  (-1)
3x = 5
x = 5/3

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d)
1 - x + 2 (-5 + 3x) = - x
1 - x - 10 + 6x = x
- 9 + 5x = x
5x - x = 9
4x = 9
x = 9/4

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e)
7.(2x + 1) - 6 (x + 8) = 12
14x + 7 - 6x - 48 = 12
8x - 41 = 12
8x = 12 + 41
8x = 53
x = 53/8

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f)
5.(3 + 4x) - 6.(7 x - 5) = 2x - 1
15 + 20x - 42x + 30 = 2x - 1
45 - 22x = 2x - 1
- 22x - 2x = - 1 - 45
- 24x = - 46 (-1)
24x = 46
x =   46  (:2)
       -----
        24  (:2)

x = 23
     ------
      12

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