Question 98420

{{{(1/4)a-12=(5/4)a+6}}} Start with the given equation



{{{(4)((1/4)a-12)=(4)((5/4)a+6)}}} 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 <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{a-48=5a+24}}} Distribute and multiply 4 by each term on both sides. Notice how the 4 canceled out the denominators.




{{{a=5a+24+48}}}Add 48 to both sides



{{{a-5a=24+48}}} Subtract 5a from both sides



{{{-4a=24+48}}} Combine like terms on the left side



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



{{{a=(72)/(-4)}}} Divide both sides by -4 to isolate a




{{{a=-18}}} Divide


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

Answer:

So our answer is {{{a=-18}}}