SOLUTION: My daughter is having trouble with the problem below and I have tried to help but I am at a loss too. Can you help? Here is the problem. 2a/4-31=4(2+8a) a= Thanks

Algebra ->  Inequalities -> SOLUTION: My daughter is having trouble with the problem below and I have tried to help but I am at a loss too. Can you help? Here is the problem. 2a/4-31=4(2+8a) a= Thanks      Log On


   

Question 25039: My daughter is having trouble with the problem below and I have tried to help but I am at a loss too. Can you help?
Here is the problem.
2a/4-31=4(2+8a) a=

Thanks for any help
Kim Hodges
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for a:
%282a%2F4%29+-+31+=+4%282+%2B+8a%29 I hope this is correctly copied. Simplify the fraction on the left side.
%28a%2F2%29+-+31+=+4%282+%2B+8a%29 Multiply through by 2 to to clear the denominator.
a+-+62+=+8%282+%2B+8a%29 Simplify the right side using the distributive property.
a+-+62+=+16+%2B+64a Subtract 16 from both sides of the equation.
a+-+78+=+64a Subtract a from both sides.
-78+=+63a Divide both sides by 63.
-78%2F63+=+a Reduce the fraction.
a+=+-26%2F21 or, in decimal form:
a+=+-1.24