SOLUTION: 1/4a-12=5/4a+6 I was working it out like this: 1/4a=5/4a+18 and then i didn't do anything because i didn't know what to do after that and i didn't know if it was right. My mom c

Algebra ->  Expressions-with-variables -> SOLUTION: 1/4a-12=5/4a+6 I was working it out like this: 1/4a=5/4a+18 and then i didn't do anything because i didn't know what to do after that and i didn't know if it was right. My mom c      Log On


   

Question 98420: 1/4a-12=5/4a+6
I was working it out like this: 1/4a=5/4a+18 and then i didn't do anything because i didn't know what to do after that and i didn't know if it was right. My mom couldn't help me either. So will you please help me?
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F4%29a-12=%285%2F4%29a%2B6 Start with the given equation


%284%29%28%281%2F4%29a-12%29=%284%29%28%285%2F4%29a%2B6%29 Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



a-48=5a%2B24 Distribute and multiply 4 by each term on both sides. Notice how the 4 canceled out the denominators.



a=5a%2B24%2B48Add 48 to both sides


a-5a=24%2B48 Subtract 5a from both sides


-4a=24%2B48 Combine like terms on the left side


-4a=72 Combine like terms on the right side


a=%2872%29%2F%28-4%29 Divide both sides by -4 to isolate a



a=-18 Divide

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Answer:
So our answer is a=-18

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
1/4a-12=5/4a+6 subtract 5/4a from both sides & add 12 to both sides.
1/4a-5/4a=6+12 (-5/4+1/4=-4/4)
-4/4a=18 (-4/4=-1)
-a=18
a=-18 answer.
proof
1/4*-18-12=5/4*-18+6
-18/4-12=-90/4+6
-4.5-12=-22.5+6
-16.5=-16.5