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11 June, 05:51

Solve this equality 2|x+5|-4=6 one to equal 6 and the other to - 6

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  1. 11 June, 05:59
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    Step-by-step explanation:

    Step 1: add 4 to both sides, obtaining 2|x+5| = 10

    Step 2: Divide both sides by 2 to isolate |x + 5|: |x + 5| = 5

    Step 3: Rewrite this result as two separate equations:

    x + 5 = 5, so x = 0, and

    - (x + 5) = 5, which simplifies to - x - 5 = 5, or - x = 10, or x = - 10

    The solution set is {0, - 10}
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