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8 September, 21:59

How do you do this equation: 9|5x+8|=54

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  1. 8 September, 23:37
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    Answer (2 answers):

    x = - 2/5, x = - 14/5

    Step-by-step explanation:

    First step is to try and get the absolute value by itself on one side and everything else that's not inside the absolute value on the other side.

    9|5x+8|=54

    |5x+8| = 54/9

    |5x+8| = 6

    Remember how absolute values turn everything positive? For example

    |-4|=4, but |4|=4 as well. So we must do the same to our problem by splitting up the absolute equation into two parts.

    |5x+8| = 6 and | - (5x+8) | = 6

    now solve the first equation.

    (Just remove the absolute value sign and solve it normally)

    5x+8 = 6

    5x = - 2

    x = - 2/5

    Now solve the other equation

    - (5x+8) = 6

    -5x - 8 = 6

    -5x = 14

    x = - 14/5
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