Question

ME AJUDEM PFV 1) Resolva as equações de primeiro grau e determine o valor de x:
a) − 4(x − 8) = −6(4 + 3x)
b) 3(4x − 5) = 5(2x − 5)
c) 9(2x − 1) − 3 = 3(12 + x)
d) 3(2x − 6) = 3 − 4(3 − x)
e) − 5(2 − 2x) + x = 2(3x + 5)

Answer 1

→ Cálculo :

a) - 4(x - 8) = -6(4 + 3x)

-4x + 32 = -24 - 18

-4x + 18x = -24 - 32

14x = -56

x = -56 ÷ 14

x = -4

b) 3(4x - 5) = 5(2x - 5)

12x - 15 = 10x - 25

12x - 10x = -25 + 15

2x = -10

x = -10 ÷ 2

x = -5

c) 9(2x - 1) - 3 = 3(12 + x)

18x - 9 - 3 = 36 + 3x

18x - 12 = 36 + 3x

18x - 3x = 36 + 12

15x = 48

x = 48/15

Reduza a divisão por 3

x = 48 ÷ 3/ 15 ÷ 3

x = 15/5

d) 3(2x - 6) = 3 - 4(3 - x)

6x - 18 = 3 - 12 + 4x

6x - 18 = -9 + 4x

6x - 4x = -9 + 18

2x = 9

x = 9/2

e) -5(2 - 2x) + x = 2(3x + 5)

-10 + 10x + x = 6x + 10

-10 + 11x = 6x + 10

11x - 6x = 10 + 10

5x = 20

x = 20 ÷ 5

x = 4