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Soluções para a tarefa
Resposta:
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Explicação passo-a-passo:
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Resposta:
a) x = 1
b) x = -1/5
c) x = 5/3
d) x = -5
e) x = 20
f) x = -14
g) x = 2
h) x = -4
i) x = -7/3
j) x = 29/2
k) x = 21/2
l) x = 3
m) x = 1/2
n) x = -25/3
o) x = 1/2
p) x = 11/4
q) x = 15/2
r) x = -23/2
s) x = -2
t) x = 4/25
u) x = 45/4
v) x = -2/11
Explicação passo-a-passo:
- Resolução:
a) 8x-3 = 5
8x = 5+3
8x = 8
x = 8/8
x = 1
b) -9x = x+2
-9x-x = 2
-10x = 2
x = 2/-10÷2 = 1/-5 = -1/5
c) 4x-9 = 1-2x
4x+2x = 1+9
6x = 10
x = 10/6÷2 = 5/3
d) x+5 = 20+4x
x-4x = 20-5
-3x = 15
x = 15/-3
x = -5
e) 9x-4x+10 = 7x-30
5x+10 = 7x-30
5x-7x = -30-10
-2x = -40
x = -40/-2
x = 20
f) -(4x-1) = -3(x-5)
-4x+1 = -3x+15
-4x+3x = 15-1
-x×(-1) = 14×(-1)
x = -14
g) 3(x-2) = 5(2x-4)
3x-6 = 10x-20
3x-10x = -20+6
-7x = -14
x = -14/-7
x = 2
h) -2(3x-2) = 4(3-x)
-6x+4 = 12-4x
-6x+4x = 12-4
-2x = 8
x = 8/-2
x = -4
i) 2(3x-1) = 6(2x+2)
6x-2 = 12x+12
6x-12x = 12+2
-6x = 14
x = 14/-6÷2 = 7/-3 = -7/3
j) 7(x-2) = 5(x+3)
7x-14 = 5x+15
7x-5x = 15+14
2x = 29
x = 29/2
k) 15 = 5x-3(x+2)
15 = 5x-3x-6
15 = 2x-6
2x-6 = 15
2x = 15+6
2x = 21
x = 21/2
l) 2x+3x+9 = 8(6-x)
5x+9 = 48-8x
5x+8x = 48-9
13x = 39
x = 39/13
x = 3
m) 5(x+1)-3(x+2) = 0
5x+5-3x-6 = 0
5x-3x+5-6 = 0
2x-1 = 0
2x = 0+1
2x = 1
x = 1/2
n) 4(2x+10)-2(x-5) = 0
8x+40-2x+10 = 0
8x-2x+40+10 = 0
6x+50 = 0
6x = 0-50
6x = -50
x = -50/6÷2 = -25/3
o) 3x-2(4x-3) = 2-3(x-1)
3x-8x+6 = 2-3x+3
-5x+6 = 5-3x
-5x+3x = 5-6
-2x = -1
x = -1/-2
x = 1/2
p) 4(6x-4) = 5(4x-1)
24x-16 = 20x-5
24x-20x = -5+16
4x = 11
x = 11/4
q) x+2(x-14)+5(x/3+7) = 42
x+2x-28+5(x/3+5×7) = 42
3x+5x/3-28+35 = 42
3x+5x/3+7 = 42
3x/1+5x/3+7 = 42
3×3x+1×5x/1×3+7 = 42
9x+5x/3+7 = 42
14x/3+7 = 42
3(14x/3+7) 3×42
14x+21 = 126
14x = 126-21
14x = 105
x = 105/14÷7 = 15/2
r) 2x+1/6-4x-2/9 = 5/3
9(2x+1)-6(4x-2)/6×9 = 5/3
18x+9-24x+12/54 = 5/3
18x-24x+9+12/54 = 5/3
-6x+21/54 = 5/3
(-6x+21/54)÷3 = 5/3
-2x+7/18 = 5/3
3×(-2x+7) = 18×5
-6x+21 = 90
-6x = 90-21
-6x = 69
x = 69/-6÷3 = 23/-2 = -23/2
s) x/2-3x/4 = 1/2
4×(x/2-3x/4) = 4×(1/2)
4x/2-4×3x/4 = 2
2x-3x = 2
-x×(-1) = 2×(-1)
x = -2
t) 5x/2-2/5 = 0
10×(5x/2-2/5) = 10×0
10×5x/2-10×2/5 = 10×0
5×5x-2×2 = 0
25x-4 = 0
25x = 0+4
25x = 4
x = 4/25
u) 6x/5 = 2x-9
5×(6x/5) = 5×(2x-9)
6x = 10x-45
6x-10x = -45
-4x = -45
x = -45/-4 = 45/4
v) 7x/2+2x/5 = 3x-3/5
10×(7x/2+2x/5) = 10×(3x-3/5)
10×7x/2+10×2x/5 = 10×-3x-3/5
5×7x+2×2x = 2(3x-3)
35x+4x = 6x-6
39x-6x = -6
33x = -6
x = -6/33÷3 = -2/11
Eu espero ter ajudado :)