SOLUTION: What's the answer to this equation -9(1+4a)-4=7-4(5a-7)

Algebra ->  Finance -> SOLUTION: What's the answer to this equation -9(1+4a)-4=7-4(5a-7)      Log On


   

Question 888773: What's the answer to this equation -9(1+4a)-4=7-4(5a-7)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-9%281%2B4a%29-4=7-4%285a-7%29 Start with the given equation.


-9-36a-4=7-20a%2B28 Distribute.


-13-36a=7-20a%2B28 Combine like terms on the left side.


-13-36a=-20a%2B35 Combine like terms on the right side.


-36a=-20a%2B35%2B13 Add 13 to both sides.


-36a%2B20a=35%2B13 Add 20a to both sides.


-16a=35%2B13 Combine like terms on the left side.


-16a=48 Combine like terms on the right side.


a=%2848%29%2F%28-16%29 Divide both sides by -16 to isolate a.


a=-3 Reduce.


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

Answer:

So the solution is a=-3