Question

resolva as equaçoes, sendo U=Q A)3(x+2)+5=x+12 B)x+4(x-1)=9-2(x+3) C)5x-(x-2)=2-3(x+5) D)10-(2x+1)=4(2x+3) E)5(3x-2)=2(6x+3) F)2(3x-1)+2(3-x)=8 G)7(x-1)=2(3x+1) H)1+4(x-5)=0 I)4(x-2)+3(2x-1)=6(2x-3) J)x-(x+1)=12-(3x-2)

Answer 1

A)

3 ( x + 2 ) + 5 = x + 12
3 ( x + 2 ) + 5 = x + 123x + 6 + 5 = x + 12  3x - x = 12 - 6 - 5     2x = 1                       x = 1/2  
x = 0,5

B)

x + 4 ( x - 1 ) = 9 - 2 ( x + 3 )
x + 4x - 4 = 9 - 2x + 6
x + 4x + 2x = 6 + 9 + 4 
5x + 2x = 15 + 4
7x = 19
x = 19 / 7

C)

5x - ( x - 2 ) = 2 - 3 ( x + 5 ) 
5x - x + 2 = 2 - 3x - 15
5x - x + 3x = 2 - 15 - 2
8x - x = 2 - 2 - 15
7x = 0 - 15
7x = - 15
x = - 15 / 7

D)

10 - ( 2x + 1 ) = 4 ( 2x + 3 ) 
10 - 2x - 1 = 8x + 12
- 2x - 8x = 12 + 1 - 10
- 10x = 12 - 9
- 10x = 3
x = 3 / - 10
x = - 0,3

E)

5 ( 3x - 2 ) = 2 ( 6x + 3 )
15x - 10 = 12x + 6 
15x - 12x = 6 + 10
3x = 16
x = 16 / 3
x = 5,33333...

F)

2 ( 3x - 1 ) + 2 ( 3 - x ) = 8
6x - 2 + 6 - 2x = 8
6x - 2x = 8 + 2 - 6
4x = 4
x = 4 / 4
x = 1

G)

7 ( x - 1 ) = 2 ( 3x + 1 ) 
7x - 7 = 6x + 2
7x - 6x = 2 + 7
x = 9

H)

1 + 4 ( x - 5 ) = 0 
1 + 4x - 20 = 0
4x = 20 - 1
x = 19 / 4
x = 4,75

I)

4 ( x - 2 ) + 3 ( 2x - 1 ) = 6 ( 2x - 3 )
10x -11 = 12x - 18 
10x - 12x = 11 - 18 
-2x = - 7 
x = - 7 / - 2 
x = 7 / 2 
x = 3,5

J)

x - ( x + 1 ) = 12 - ( 3x - 2 )
x - x - 1 = 12 - 3x + 2
x - x + 3x = 12 + 2 + 1 
3x = 15
x = 15 / 3
x = 5

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