Question

Resolva as seguintes equações sendo u = q
A) (4 x+6) -2x=( x - 6) + 10 + 14

B) (x-3)-(x+2)+2(x-1)-5=0

C)3x-2(4x-3)=2-3(x-1)

D) 3(x-1)-(x-3)+5(x-2)=18

E)5(x-3)-4(x+2)=2+3(1-2x)

Answer 1

A)
(4x + 6) - 2x = ( x - 6) + 10 + 14
4x + 6 - 2x = x - 6 + 24
2x + 6 = x + 18
2x - x = 18 - 6
x = 12
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨

B)
(x - 3) - (x + 2) + 2(x - 1) - 5 = 0
x - 3 - x - 2 + 2x - 2 - 5 = 0
x - x - 3 - 2 - 5 + 2x - 2 = 0
2x = 2
x = 2/2
x = 1
***********************************

C)
3x - 2.(4x - 3) = 2 - 3(x - 1)
3x - 8x + 6 = 2 - 3x + 3
- 5x + 6 = 5 - 3x
6 - 5 = - 3x + 5x
1 = 2x
2x = 1
x = 1/2


¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
D)
3(x - 1) - (x - 3) + 5(x - 2) = 18
3x - 3 - x + 3 + 5x - 10 = 18
3x - x + 5x - 3 + 3 - 10 = 18
7x = 18 + 10
7x = 28
x = 28/7
x = 4
******************************************
E)
5(x - 3) - 4(x + 2) = 2 + 3(1 - 2x)
5x - 15 - 4x - 8 = 2 + 3 - 6x
x - 23 = 5 - 6x
6x + x = 5 + 23
7x = 28
x = 28/7
x = 4