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college algebra

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Solve equation

|x+3|=|2-x|

Not sure which way to go to solve.

Thanks

  • college algebra -

    it will break down to 2 cases:

    x+3 = 2-x OR x+3 = -2+x
    2x = -1
    x = -1/2

    or

    x+3 = -2+x
    5 = 0 , not very likely, so no solution from that part

    x = -1/2

    check:
    LS = |-1/2 + 3|
    = |2.5| = 2.5
    RS =|2 - (-1/2) |
    = |2.5| = 2.5 = LS
    my answer is correct

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