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13 January, 07:02

Explain the steps in solving the following absolute value equation 2|x-2|=12

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  1. 13 January, 08:59
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    X1 = - 4, X2 = 8

    Step-by-step explanation:

    2|x-2|=12

    Divide both sides of the equation by 2

    |x-2| = 6

    rewrite the absolute value equation as two separate equations, one positive and the other negative

    x-2=6

    x-2 = - 6

    solve the equation for x

    x-2=6 x-2 = - 6

    x=8 x = - 4

    the final solutions are

    X1 = - 4, X2 = 8
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