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1 September, 13:21

How many soluations does the following equationsl have? 3 (x + 5) = - 4x + 8

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  1. 1 September, 14:25
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    1 solution: x = - 1

    Step-by-step explanation:

    First note that this is a 1st order equation; that is, the highest power of x is 1. Thus, this equation could have at most 1 solution, with the other possibility being 0.

    Multiplying as indicated, we get:

    3x + 15 = - 4x + 8.

    Combining the x terms by adding 4x to both sides results in:

    7x + 15 = 8, which reduces to 7x = - 7. Thus, x = - 1. This is the ONLY solution.
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