Question

resolva as seguintes equações passo a passo:
a) 4x-1=3.(x-1)
b) 3(x-2)=2x-4
c) 7(x-4)=2x-3
d) 3(2x-1)=-2(x+3)
e) 2x+3x+9=8(6-x)​

Answer 1

a) 4x - 1 = 3 . (x - 1)

4x - 1 = 3x - 3

4x - 3x = - 3 + 1

1x = - 2

x = - 2/1

x = - 2

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

3x - 6 = 2x - 4

3x - 2x = - 4 + 6

1x = 2

x = 2/1

x = 2

c) 7(x - 4) = 2x - 3

7x - 28 = 2x - 3

7x - 2x = - 3 + 28

5x = 25

x = 25/5

x = 5

d) 3(2x - 1) = - 2(x + 3)

6x - 3 = - 2x - 6

6x + 2x = - 6 + 3

8x = - 3

x = - 3/8

e) 2x + 3x + 9 = 8(6 - x)

2x + 3x + 9 = 48 - 8x

2x + 3x + 8x = 48 - 9

13x = 39

x = 3