SOLUTION: how do you solve this linear equation 5(x+2)>-2(x-3)

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Question 624955: how do you solve this linear equation
5(x+2)>-2(x-3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This is actually a linear inequality.

5%28x%2B2%29%3E-2%28x-3%29 Start with the given inequality.


5x%2B10%3E-2x%2B6 Distribute.


5x%3E-2x%2B6-10 Subtract 10 from both sides.


5x%2B2x%3E6-10 Add 2x to both sides.


7x%3E6-10 Combine like terms on the left side.


7x%3E-4 Combine like terms on the right side.


x%3E%28-4%29%2F%287%29 Divide both sides by 7 to isolate x.


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Answer:

So the solution is x%3E-4%2F7


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