SOLUTION: 2(a-8)+7=5(a+2)-3a-19

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 2(a-8)+7=5(a+2)-3a-19      Log On


   

Question 113622: 2(a-8)+7=5(a+2)-3a-19
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28a-8%29%2B7=5%28a%2B2%29-3a-19 Start with the given equation



2a-16%2B7=5a%2B10-3a-19 Distribute


2a-9=5a%2B10-3a-19 Combine like terms on the left side


2a-9=2a-9 Combine like terms on the right side


2a=2a-9%2B9Add 9 to both sides


2a-2a=-9%2B9 Subtract 2a from both sides


0a=-9%2B9 Combine like terms on the left side


0a=0 Combine like terms on the right side


0=0 Simplify

Since this equation is always true for any "a" value, this means "a" can equal any number. So there are an infinite number of solutions.