Question

determine a raiz de cada equacao ; 3x-6=-4x+3 , 5x-5+x=10+x , 7y-4-y=8 , 3x-2x=3x+2 , 2-4x=30-18x , 2x-1=-3+x+4

Answer 1

1) 3 x -6=-4x+3
3x+4x=3+6
7x=9
x=9/7
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5x-5+x=10+x
5x+x-x=10+5
6x-x=15
5x=15
x=15/5
x3
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7y-4-y=8
7y-y=8+4
6y=12
y=12/6
y=2
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3x-2x=3x+2
3x-2x-3x=2
x-3x=2
-2x=2
x=-2/2
x=-1
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2-4x=30-18x
-4x+18x=30-2
14x=28
x=28/14
x=2
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2x-1=-3+x+4
2x-x=-3+4+1
x=2

Answer 2

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a)
3x - 6 = - 4x + 3
3x + 4x = 3 + 6 
7x = 9
x = 9/7

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b)
5x - 5 + x = 10 + x
6x - 5 = 10 + x
6x - x = 10 + 5
5x = 15
x = 15/5
x = 3

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c)
7y - 4 - y = 8
7y - y - 4 = 8
6y - 4 = 8
6y = 8 + 4
6y = 12
y = 12/6
y = 2

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d)
3x - 2x = 3x + 2
x = 3x + 2
x - 3x = 2
- 2x = 2 (-1)
2x = - 2
x = - 2/2
x = - 1

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e)
2 - 4x = 30 - 18x
18x - 4x = 30 - 2 
14x = 28
x = 28/14
x = 2

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f)
2x - 1 = - 3 + x + 4
2x - 1 = - 3 + 4 + x
2x - 1 = 1 + x
2x - x = 1 + 1
x = 2