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How do I solve this problem? 3x-2/3x=4/3

  • algebra -

    3x-2/3x=4/3

    7/3x = 4/3

    x = (4/3) / (7/3)

    x = (4/3) * (3/7)

    x = 12/21 = 4/7

  • algebra -

    Thank you Ms.Sue, but could you please show me how you got 7/3x?

  • algebra -

    I think this problem is really
    (3x - 2) / 3x = 4 / 3
    [cross multiply]
    3(3x - 2) = 4 * 3x
    9x - 6 = 12x
    9x -6 + 6 = 12x +'6
    9x = 12x + 6
    9x - 12x = 12x + 6 - 12x
    -3x = 6
    x = -2

  • algebra -

    3x - 2/3x = 2 1/3x

    2 1/3 = 7/3

  • algebra -

    Thanks Jake, but the ans. to this problem is x=4/7, so the set up is... 3x-2/3x-4/3.

  • algebra -

    Thank you so much Ms. Sue!

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