Question

Resolva - equações.
4(x-3) - (2-5x) = x -12
4-8 (4-x)=6x -5 (3-2x)
2(x+3) +3 (x+2) = 22
4(2-x) -6 (x-2) =8 (2-x)+4(x+2
2+2 (2-x)=5 +3(x+4)
5(x-1)5 +2 (3x+2)
5(x+1) +6 (x+2) =9 (x+3)

Answer 1

4(x-3)-(2-5x)=x-12
4x-12-2+5x=x-12
4x+5x-x=-12+2+12
9x-x=2
8x=2
x=2/8 (:2)
x=1/4
4-8(4-x)=6x-5(3-2x)
4-32+8x=6x-15+10x
8x-6x-10x=-15+32-4
8x-16x=17-4
-8x=13.(-1)
8x=-13
x=-13/8
2(x+3)+3(x+2)=22
2x+6+3x+6=22
2x+3x=22-6-6
5x=22-12
5x=10
x=10/5
x=2
4(2-x)-6(x-2)=8(2-x)+4(x+2)
8-4x-6x+12=16-8x+4x+8
-4x-6x+8x-4x=16+8-12-8
-14x+8x=4
-6x=4.(-1)
6x=-4
x=-4/6 (:2)
x=-2/3
2+2(2-x)=5+3(x+4)
2+4-2x=5+3x+12
-2x-3x=5+12-4-2
-5x=17-6
-5x=11.(-1)
5x=-11
x=-11/5
5(x+1)+6(x+2)=9(x+3)
5x+5+6x+12=9x+27
5x+6x-9x=27-12-5
11x-9x=27-17
2x=10
x=10/2
x=5

Answer 2

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a)

4.(x - 3) - (2 - 5x) = x - 12
4x - 12 - 2 + 5x = x - 12
4x - 14 + 5x = x - 12
9x - 14 = x - 12
9x - x = - 12 + 14
8x = 2 (:2)
4x = 1
x = 1/4
______________________________
b)
4 - 8.(4 - x) = 6x - 5.(3 - 2x)
4 - 32 + 8x = 6x - 15 + 10x
- 28 + 8x = 16x - 15
- 28 + 15 = 16x - 8x
- 13 = 8x
8x = - 13
x = - 13/8
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c)
2(x + 3) +3(x + 2) = 22
2x + 6 + 3x + 6 = 22
5x + 12 = 22
5x = 22 - 12
5x = 10
x = 10/5
x = 2
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d)
4(2 - x) - 6(x - 2) = 8.(2 - x) + 4(x + 2)
8 - 4x - 6x + 12 = 16 - 8x + 4x + 8
20 - 10x = 24 - 4x
20 - 24 = - 4x + 10x
- 4 = 6x
6x = - 4 (:2)
3x = - 2
x = - 2/3
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e)

2 +2.(2 - x) = 5 +3(x + 4)
2 + 4 - 2x = 5 + 3x + 12
6 - 2x = 17 + 3x
6 - 17 = 3x + 2x
- 11 = 5x
5x = - 11
x = -11/5
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f)

5(x - 1) = 5 + 2.(3x + 2)
5x - 5 = 5 + 6x + 4
5x - 5 = 9 + 6x
- 5 - 9 = 6x - 5x
- 14 = x
x = - 14
_______________________________
g)

5(x + 1) + 6.(x+2) =9 (x+3)
5x + 5 + 6x + 12 = 9x + 27
11x + 17 = 9x + 27
11x - 9x = 27 - 17
2x = 10
x = 10/2
x = 5