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14 April, 11:23

Solve and show all work |2*+3| - 6=11

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  1. 14 April, 12:37
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    x = - 10; x = 7

    Step-by-step explanation:

    |2x + 3| - 6 = 11

    Add 6 to each side.

    |2x + 3| = 17

    Apply the absolute rule: If |x| = a, then x = a or x = - a.

    (1) 2x + 3 = 17 (2) 2x + 3 = - 17

    Subtract 3 from each side

    2x = 14 2x = - 20

    Divide each side by 2

    x = 7 x = - 10

    Check:

    (1) |2 (7) + 3| - 6 = 11 (2) |2 (-10) + 3| - 6 = 11

    |14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

    |17| - 6 = 11 |-17| - 6 = 1 1

    17 - 6 = 11 17 - 6 = 11

    11 = 11 11 = 11
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