SOLUTION: Please solve it for me 2x+6<5(x-3)

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Question 708947: Please solve it for me 2x+6<5(x-3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2B6%3C5%28x-3%29 Start with the given inequality.


2x%2B6%3C5x-15 Distribute.


2x%3C5x-15-6 Subtract 6 from both sides.


2x-5x%3C-15-6 Subtract 5x from both sides.


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


-3x%3C-21 Combine like terms on the right side.


x%3E%28-21%29%2F%28-3%29 Divide both sides by -3 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E7 Reduce.


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Answer:

So the solution is x%3E7