Question

(40 pontos)
Resolva as equações a seguir:
a) 2x - 4 = 2 - x
b) 4. (x - 4) = 8x
c) 2x + 3 = 10 - 5x
d) 12. (2 - x) = 2. (6 - 5x)
e) 7x + 6 = 2x - 4
f) 2x = 84

Answer 1

Explicação passo-a-passo:

a) 2x - 4 = 2 - x

2x + x = 2 + 4

3x = 6

x = 6/3

x = 2

b) 4. (x - 4) = 8x

4x - 16 = 8x

4x - 8x = 16

(-1) -4x = 16 (-1)

4x = -16

x = -16/4

x = -4

c) 2x + 3 = 10 - 5x

2x + 5x = 10 - 3

7x = 7

x = 7/7

x = 1

d) 12. (2 - x) = 2. (6 - 5x)

24 - 12x = 12 - 10x

10x - 12x = 12 - 24

(-1) -2x = -12 (-1)

2x = 12

x = 12/2

x = 6

e) 7x + 6 = 2x - 4

7x - 2x = - 4 - 6

5x = -10

x = -10/5

x = -2

f) 2x = 84

x = 84/2

x = 42

espero ter ajudado!