Exercício
A)7(×-2)=5(×+3)
B)3(2×-1)=-2(×+3)
C)5×-3(×+2)=15
D)2×+3×+9=8(6-×)
E)4(×+10)-2(×-5)=0
F)3(2×+3)-4(×-1)=3
G)7(×-1)-2(×-5)=×-5
H)2(3-×)=3(×-4)+15
I)3(5-×)-3(1-2×)=42
J)(4×+6)-2×=(×-6)+10+14
K)(×-3)-(×+2)+2(×-1)-5=0
L)3×-2(4×-3)=2-3(×-1)
M)3(×-1)-(×-3)+5(×-2)=18
N)5(×-3)-4(×+2)=2+3(1-2×)
A)7(×-2)=5(×+3)
B)3(2×-1)=-2(×+3)
C)5×-3(×+2)=15
D)2×+3×+9=8(6-×)
E)4(×+10)-2(×-5)=0
F)3(2×+3)-4(×-1)=3
G)7(×-1)-2(×-5)=×-5
H)2(3-×)=3(×-4)+15
I)3(5-×)-3(1-2×)=42
J)(4×+6)-2×=(×-6)+10+14
K)(×-3)-(×+2)+2(×-1)-5=0
L)3×-2(4×-3)=2-3(×-1)
M)3(×-1)-(×-3)+5(×-2)=18
N)5(×-3)-4(×+2)=2+3(1-2×)
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Explicação passo a passo:
a) 7 (x-2) = 5 (x+3)
(=) 7x - 14 = 5x + 15
(=) 7x - 5x = 15 + 14
(=) 2x = 29
(=) x = 29 / 2
b) 3 (2x -1) = 2 (x+3)
(=) 6x - 3 = 2x + 6
(=) 6x - 2x = 6 + 3
(=) 4x = 9
(=) x = 9 / 4
c) 5x - 3 (x+2) =15
(=) 5x - 3x - 6 = 15
(=) 5x - 3x = 15 + 6
(=) 2x = 21
(=) x = 21 / 2
d) 2x + 3x + 9 = 8 ( 6-x)
(=) 2x + 3x + 9 = 48 - 8x
(=) 2x + 3x + 8x = 48 - 9
(=) 13x = 39
(=) x = 39 / 13
(=) x = 3
e) 4 (x+10) - 2 (x-5) = 0
(=) 4x + 40 - 2x + 10 = 0
(=) 4x - 2x = - 40 - 10
(=) 2x = - 50
(=) x = - 50 / 2
(=) x = - 25
f) 3 (2x+3) - 4 (x-1) = 3
(=) 6x + 9 - 4x + 4 = 3
(=) 6x - 4x = 3 - 9 - 4
(=) 2x = - 10
(=) x = - 10 / 2
(=) x = - 5
g) 7 (x-1) - 2 (x-5) = x - 5
(=) 7x - 7 - 2x + 10 = x - 5
(=) 7x - 2x - x = - 5 + 7 - 10
(=) 4x = - 8
(=) x = - 8 / 4
(=) x = - 2
h) 2 (3-x) = 3 (x-4) + 15
(=) 6 - 2x = 3x - 12 + 15
(=) - 2x - 3x = - 12 + 15 - 6
(=) - 5x = - 3
(=) 5x = 3
(=) x = 3 / 5
i) 3 (5-x) - 3 (1-2x) = 42
(=) 15 - 3x - 3 + 6x = 42
(=) - 3x + 6x = 42 - 15 + 3
(=) 3x = 30
(=) x = 30 / 3
(=) x = 10
j) (4x+6) - 2x = (x-6) + 10 + 14
(=) 4x + 6 - 2x = x - 6 + 10 + 14
(=) 4x - 2x - x = - 6 + 10 + 14 - 6
(=) x = 12
k) (x-3) - (x+2) + 2 (x-1) - 5 = 0
(=) x - 3 - x - 2 + 2x - 2 - 5 = 0
(=) x - x + 2x = 3 + 2 + 2 + 5
(=) 2x = 12
(=) x = 12 / 2
(=) x = 6
l) 3x - 2 (4x-3) = 2 - 3 (x-1)
(=) 3x - 8x + 6 = 2 - 3x + 3
(=) 3x - 8x + 3x = 2 + 3 - 6
(=) - 2x = - 1
(=) 2x = 1
(=) x = 1 / 2
m) 3 (x-1) - (x-3) + 5 (x-2) = 18
(=) 3x - 3 - x + 3 + 5x - 10 = 18
(=) 3x - x + 5x = 18 + 10
(=) 7x = 28
(=) x = 4
n) 5 (x-3) - 4 (x+2) = 2 + 3 (1-2x)
(=) 5x - 15 - 4x - 8 = 2 + 3 - 6x
(=) 5x - 4x + 6x = 2 + 3 + 15 + 8
(=) 7x = 28
(=) x = 28 / 7
(=) x = 4