Question

Encontre a solução para cada equação :  

A)4(x-2)-2(-x+3)=1
B)8-7(-x+3)=15x-5
C)1+2(3x-4)=3(5-x)-4
D)7-2(-x-3)=8-5(x-1)

Answer 1

A)4(x-2)-2(-x+3)=1
4x - 8 + 2x - 6 = 1
6x = 1 + 8 + 6
6x = 15
x= 15/6 (reduzindo) 5/2

B)8-7(-x+3)=15x-5
8 + 7x - 21 = 15x - 5
7x - 15x = -5 - 8 + 21
-8x = 8
-x = 8/8
-x = 1
x= -1


C)1+2(3x-4)=3(5-x)-4
1 + 6x - 8 = 15 - 3x -4
6x + 3x = 11 -1 + 8
9x = 18
x= 18/9
x = 2


D)7-2(-x-3)=8-5(x-1)
7 + 2x + 6 = 8 - 5x + 5
2x + 5x = 13 - 7 - 6
7x = 0
x = 0/7
x = 0

Answer 2

a) 4 ( x - 2) - 2 ( -x + 3) = 1
4x - 8 + 2x - 6 = 1
4x + 2x = 1 + 6 + 8
6x = 15
x = 15/6
x = 2,5

b) 8 - 7 ( - x + 3) = 15x - 5
8 + 7x - 21 = 15x - 5
7x - 15x = - 5 + 21 - 8
- 8x = 8  (-1)
8x = - 8
x = - 8/8
x = - 1

c) 1 + 2 (3x - 4) = 3 (5 - x) - 4
1 + 6x - 8 = 15 - 3x - 4
6x + 3x = - 4 + 15 + 8 - 1
9x = 18
x = 18/9
x = 2

d) 7 - 2 (-x - 3) = 8 - 5(x - 1)
7 + 2x + 6 = 8 - 5x + 5
2x + 5x = 5 + 8 - 6 - 7
7x = 0
x = 0