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16 August, 00:11

What kind of solution is - 6 (x-2) = -7 (x-3)

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Answers (2)
  1. 16 August, 00:17
    0
    -6 (x-2) = -7 (x-3) = False x = 9

    Step-by-step explanation:

    Solve for x:

    -6 (x - 2) = - 7 (x - 3)

    Expand out terms of the left hand side:

    12 - 6 x = - 7 (x - 3)

    Expand out terms of the right hand side:

    12 - 6 x = 21 - 7 x

    Add 7 x to both sides:

    7 x - 6 x + 12 = (7 x - 7 x) + 21

    7 x - 7 x = 0:

    7 x - 6 x + 12 = 21

    7 x - 6 x = x:

    x + 12 = 21

    Subtract 12 from both sides:

    x + (12 - 12) = 21 - 12

    12 - 12 = 0:

    x = 21 - 12

    21 - 12 = 9:

    Answer: x = 9
  2. 16 August, 01:57
    0
    Step-by-step explanation:

    -6 (x-2) = -7 (x-3)

    -6x + 12 = - 7x + 21

    -6x + 7x = 21 - 12

    x = 9
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