SOLUTION: 11x + 3 – 13x – 7 < 2(5 + 4x) I'm not sure how to get all the x's on the left of this problem. Can you help please?

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 11x + 3 – 13x – 7 < 2(5 + 4x) I'm not sure how to get all the x's on the left of this problem. Can you help please?      Log On

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Question 165080: 11x + 3 – 13x – 7 < 2(5 + 4x)
I'm not sure how to get all the x's on the left of this problem. Can you help please?
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!

11x%2B3-13x-7%3C2%285%2B4x%29 Start with the given inequality.


11x%2B3-13x-7%3C10%2B8x Distribute.


-2x-4%3C10%2B8x Combine like terms on the left side.


-2x%3C10%2B8x%2B4 Add 4 to both sides.


-2x-8x%3C10%2B4 Subtract 8x from both sides.


-10x%3C10%2B4 Combine like terms on the left side.


-10x%3C14 Combine like terms on the right side.


x%3E%2814%29%2F%28-10%29 Divide both sides by -10 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-7%2F5 Reduce.


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Answer:

So the answer is x%3E-7%2F5


Which in decimal form is x%3E-1.4