Question

Resolva as seguintes equações:
A)7(×-5)=3(×+1)
B)3(×-2)=4(-×+3)
C)2(×+1)-(×-1)=0
D)5(×+1)-3(×+2=0
E)13+4(2×-1)=5(×+2)
F)4(×+5)+3(×+5)=21
G)2(×+5)-3(5-×)=10
H)8(×-1)=8-4(2×-3)

Answer 1

A)
7(×-5)=3(×+1)
7x - 35 = 3x + 3
7x - 3x = 3 + 35
4x = 38
x = 38  (:2)
      ------
        4  (:2)

x =19/2

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
B)
3(x - 2) = 4(- x + 3)
3x - 6 = - 4x + 12
3x + 4x = 12 + 6
7x = 18
x = 18/7

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
C)
2(×+1)-(×-1)=0
2x + 2 - x +1 = 0
x + 3 = 0
x = - 3

D)
5(×+1) - 3(×+2) = 0
5x+ 5 - 3x - 6 = 0
2x - 1 = 0
2x = 1
x = 1/2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨

E)
13+4(2×-1)=5(×+2)
13 + 8x - 4 = 5x + 10
9 + 8x = 5x + 10
8x - 5x = 10 - 9
3x =1
x = 1/3

F)
4(×+5)+3(×+5)=21
4x + 20 + 3x+ 15 = 21
7x + 35 = 21
7x = 21 - 35
7x = - 14
x = - 14/7
x = - 2

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
G)
2(×+5)-3(5-×)=10
2x + 10 - 15 + 3x = 10
5x - 5 = 10
5x = 10 + 5
5x = 15
x = 15/5
x = 3

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
H)
8(x - 1) = 8 - 4.(2x - 3)
8x - 8 = 8 - 8x + 12
8x - 8 = 20 - 8x
8x + 8x = 20 + 8
16x = 28
x =  28    (:4)        7
      ------          = -----
       16    (:4)        4