Question

Simplifique e resolva as equações:

a) 5x - 2. (x - 7) - 6 = 17
b) 8x + 4 - 5. (3 - 2x) = 25
c) (3x - 1) . 4 - 2. (4x + 6) = 4
d) -1. (8x - 1) + 6. (3x - 10) = 31

Answer 1

Simplifique e resolva as equações:a) 5x - 2. (x - 7) - 6 = 17
    5x  - 2x + 14  - 6 = 17
         3x     + 8 = 17
         3x = 17 - 8
         3x = 9
 x = 9/3
x = 3
 
b) 8x + 4 - 5. (3 - 2x) = 25 
    8x  + 4    - 15 +10x = 25
    8x   - 11         + 10x = 25
8x + 10x = 25 + 11
18x  = 36
x = 36/18
x = 2


c) (3x - 1) . 4 - 2. (4x + 6) = 4
     12x - 4       - 8x   - 12   = 4
      12x - 8x - 4 - 12 = 4
             4x   - 16 = 4
              4x = 4 + 16
4x = 20
x = 20/4
x = 5
 

d) -1. (8x - 1) + 6. (3x - 10) = 31
        -8x + 1       +18x - 60  = 31
       - 8x + 18x + 1 - 60 = 31
               10x   - 59 = 31
10x = 31 + 59
10x = + 90
x = 90/10
x = 9