SOLUTION: How do you solve a problem like this: 2(x+3)/5>2x-6 Do you have to get a denominator of five on both sides? Also, 2(x+3)/5 means 2(x+3)

Algebra ->  College  -> Linear Algebra -> SOLUTION: How do you solve a problem like this: 2(x+3)/5>2x-6 Do you have to get a denominator of five on both sides? Also, 2(x+3)/5 means 2(x+3)       Log On


   

Question 641710: How do you solve a problem like this: 2(x+3)/5>2x-6

Do you have to get a denominator of five on both sides?
Also, 2(x+3)/5 means 2(x+3) OVER 5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%2B3%29%2F5%3E2x-6 Start with the given inequality.


2%28x%2B3%29%3E5%282x-6%29 Multiply both sides by 5.


2x%2B6%3E10x-30 Distribute.


2x%3E10x-30-6 Subtract 6 from both sides.


2x-10x%3E-30-6 Subtract 10x from both sides.


-8x%3E-30-6 Combine like terms on the left side.


-8x%3E-36 Combine like terms on the right side.


x%3C%28-36%29%2F%28-8%29 Divide both sides by -8 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C9%2F2 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is x%3C9%2F2