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What is the solution of |X - 1| = 5x + 10

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  1. 27 April, 04:38
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    Break down the problem into these two equations;

    x - 1 = 5x + 10

    - (x - 1) = 5x + 10

    Now solve the first equation; x - 1 = 5x + 10

    x = - 11/4

    Solve the second equation; - (x - 1) = 5x + 10

    x = - 3/2

    Collect all solutions

    x = - 11/4, - 3/2

    Check solution

    So, when x = - 11/4, the original equation |x - 1| = 5x + 10 doesn't hold true. We will drop x = - 11/4 from the solution set.

    Therefore,

    x = - 3/2
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