SOLUTION: 7( x + 4) - 13 > 12 + 13(3 + x) I am having problems with this one, can you break it down for me

Algebra ->  Graphs -> SOLUTION: 7( x + 4) - 13 > 12 + 13(3 + x) I am having problems with this one, can you break it down for me      Log On


   

Question 577553: 7( x + 4) - 13 > 12 + 13(3 + x)
I am having problems with this one, can you break it down for me
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7%28x%2B4%29-13%3E12%2B13%283%2Bx%29 Start with the given inequality.


7x%2B28-13%3E12%2B39%2B13x Distribute.


7x%2B15%3E12%2B39%2B13x Combine like terms on the left side.


7x%2B15%3E13x%2B51 Combine like terms on the right side.


7x%3E13x%2B51-15 Subtract 15 from both sides.


7x-13x%3E51-15 Subtract 13x from both sides.


-6x%3E51-15 Combine like terms on the left side.


-6x%3E36 Combine like terms on the right side.


x%3C%2836%29%2F%28-6%29 Divide both sides by -6 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C-6 Reduce.


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Answer:

So the solution is x%3C-6


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