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a) 3 . (3 + x) = 5 . (x + 2)
b) 2 . (3 + x) = 10
c) 5 . (2 - x) = 5
d) 6 . (x + 1) = 24
e) - 9 . (x - 4) = 9
f) 4 . (x + 2) = -10
g) 3 . (3 + x) = 5 . (x + 2)
h) 2 . (x - 2) = 3 . (7 + 2x)
i) 5 . (8 - 4x) = 2 . (6x + 4)
j) 4 . (3x + 6) = 3 . (7 + 5x)
k) 2 . (5 - 2x) = 4 . (3 - 2x)
l) 3 . (x + 6) = 5 . ( x - 4)
Soluções para a tarefa
Resposta:
A) 3 . (3 + x) = 5 . (x + 2)
9 + 3x = 5x + 10
3x - 5x = 10 - 9
- 2x = 1 . (-1)
2x = -1
x = - 1 ÷ 2
x = - 0,5
B) 2 . (3 + x) = 10
6 + 2x = 10
2x = 10 - 6
2x = 4
x = 4 ÷ 2
x= 2
C) 5 . (2 - x) = 5
10 - 5x = 5
- 5x = 5 - 10
- 5x = - 5 . (-1)
5x = 5
x = 5 ÷ 5
x = 1
D) 6 . (x + 1) = 24
6x + 6 = 24
6x = 24 - 6
6x = 18
x = 18 ÷ 6
x = 3
E) - 9 . (x - 4) = 9
- 9x - 36 = 9
- 9x = 9 + 36
- 9x = 45
x = 45 ÷ 9
x = 5
F) 4 . (x + 2) = -10
4x + 8 = - 10
4x = - 10 - 8
4x = -18
x = -18 ÷ 4
x = - 4,5
G) É igual a letra A
H) 2 . (x - 2) = 3 . (7 + 2x)
2x - 4 = 21 + 6x
2x - 6x = 21 + 4
- 4x = 25
x = 25 ÷ 4
x = 6,25
I) 5 . (8 - 4x) = 2 . (6x + 4)
40 - 20x = 12x + 8
-20x - 12x = 8 - 40
- 32x = - 32 . (-1)
32x = 32
x = 32 ÷ 32
x = 1
J) 4 . (3x + 6) = 3 . (7 + 5x)
12x + 24 = 21 + 15x
12x - 15x = 21 - 24
- 3x = - 3 . (-1)
3x = 3
x = 3 ÷ 3
x = 1
K) 2 . (5 - 2x) = 4 . (3 - 2x)
10 - 4x = 12 - 8x
- 4x + 8x = 12 - 10
4x = 2
x = 2 ÷ 4
x = 0,5
L) 3 . (x + 6) = 5 . ( x - 4)
3x + 18 = 5x - 20
3x - 5x = - 20 - 18
- 2x = - 38 . (-1)
2x = 38
x = 38 ÷ 2
x = 19