SOLUTION: Please solve 6(x+9)-2 > 5+1(x-4) Thank you.

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Question 325258: Please solve
6(x+9)-2 > 5+1(x-4) Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

6%28x%2B9%29-2%3E5%2B1%28x-4%29 Start with the given inequality.


6x%2B54-2%3E5%2Bx-4 Distribute.


6x%2B52%3E5%2Bx-4 Combine like terms on the left side.


6x%2B52%3Ex%2B1 Combine like terms on the right side.


6x%3Ex%2B1-52 Subtract 52 from both sides.


6x-x%3E1-52 Subtract x from both sides.


5x%3E1-52 Combine like terms on the left side.


5x%3E-51 Combine like terms on the right side.


x%3E%28-51%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the solution is x%3E-51%2F5