SOLUTION: Please solve 2(a-8)+7a=5(a+2)

Algebra ->  Linear-equations -> SOLUTION: Please solve 2(a-8)+7a=5(a+2)      Log On


   



Question 658303: Please solve 2(a-8)+7a=5(a+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28a-8%29%2B7a=5%28a%2B2%29 Start with the given equation.


2a-16%2B7a=5a%2B10 Distribute.


9a-16=5a%2B10 Combine like terms on the left side.


9a=5a%2B10%2B16 Add 16 to both sides.


9a-5a=10%2B16 Subtract 5a from both sides.


4a=10%2B16 Combine like terms on the left side.


4a=26 Combine like terms on the right side.


a=%2826%29%2F%284%29 Divide both sides by 4 to isolate a.


a=13%2F2 Reduce.


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

Answer:

So the solution is a=13%2F2