SOLUTION: solve:7(x+4)-2/3 (x-6)<2[x-3(x+5)] THANK YOU

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Question 1046799: solve:7(x+4)-2/3 (x-6)<2[x-3(x+5)]
THANK YOU
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve:7(x+4)-2/3 (x-6) < 2[x-3(x+5)]
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7(x+4)-2/3 (x-6) < 2[x-3(x+5)]
Do it 1 step at a time.
7(x+4)-2/3 (x-6) < 2[x-3x-15]
7x+28 - 2/3 (x-6) < 2[x-3x-15]
I'll assume you mean (2/3)*x-6)
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7x+28 - (2x/3) - 4 < 2[-2x-15]
7x+24 - (2x/3) < -4x-30
Add 4x
11x+24 - (2x/3) < -30
Add 30
11x + 54 - (2x/3) < 0
Multiply thru by 3
33x + 162 - 2x < 0
31x < 162
x < 162/31