# algebra

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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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