SOLUTION: Here is the problem: 2/3(x+7)-(x/4)>1/2(3-x)+(x/6) I come up with an answer of -38/9 I have seen a solution for this problem as -14/15 I don't understand how they came up wit

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Question 490793: Here is the problem:
2/3(x+7)-(x/4)>1/2(3-x)+(x/6)
I come up with an answer of -38/9
I have seen a solution for this problem as -14/15
I don't understand how they came up with the solution. I have tried this problem several times

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2/3(x+7)-(x/4)>1/2(3-x)+(x/6)
----
Multiply thru by 12 to get:
8(x+7) - 3x > 6(3-x) + 2x
---------------------------
5x+56 > 18-4x
9x > -38
---
x > -38/9
===============
Cheers,
Stan H.

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