What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)

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dreamcase dreamcase

05-03-2015
Mathematics

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What is the best way to classify each equation? 22-3x+7x=4(x+5) ,6(2x-3=3(3-5), 6x-14=2(3x-7), 6x+3(x-4)=8(x-3)

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Panoyin Panoyin · Answer 1 · 2015-03-07T09:58:16-05:00

1. 22 - 3x + 7x = 4(x + 5)
   22 - 3x + 7x = 4x + 20
      +3x +3x   +3x
   22 + 10x = 7x + 20
      -7x   -7x
   22 + 3x = 20
      -22    -22
   3x = -2
      3 3
   x = -2/3

2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
   +18   +18
   12x = 12
      12    12
   x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 = -3x
    6x - 14 = 2(-7)
    6x - 14 = -14
   +14   +14
   6x = 0
      6    6
   x = 0

4. 6x + 3(x - 4) = 8(x - 3)
    6x + 3x - 12 = 8x - 24
          9x - 12 = 8x - 24
      -8x     -8x
      x - 12 = -24
   +12    +12
           x = -12