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25 November, 02:36

How many solutions does 2 (3x+5) = 2 (2x-3) + 2x have

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Answers (2)
  1. 25 November, 04:19
    0
    Steps to solve:

    2 (3x + 5) = 2 (2x - 3) + 2x

    ~Distributive Property

    (2 * 3x) + (2 * 5) = (2 * 2x) + (2 * - 3) + 2x

    ~Simplify

    6x + 10 = 4x + - 6 + 2x

    ~Combine Like Terms

    6x + 10 = 6x - 6

    Subtract 6x to both sides

    6x - 6x + 10 = 6x - 6x - 6

    ~Simplify

    10 ≠ - 6

    This means that there is no solution.

    Best of Luck!
  2. 25 November, 05:09
    0
    no solutions

    Step-by-step explanation:

    2 (3x+5) = 2 (2x-3) + 2x

    Distribute

    6x+10 = 4x - 6 + 2x

    Combine like terms

    6x+10 = 6x-6

    Subtract 6x from each side

    6x-6x+10 = 6x-6x-6

    10 = - 6

    This is never true so there are no solutions
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