Question 103715

{{{(2/3)a-3/4=(3/4)a}}} Start with the given equation




{{{(12)((2/3)a-3/4)=(12)((3/4)a)}}} Multiply both sides by the LCM of 12. 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>)




{{{8a-9=9a}}} Distribute and multiply the LCM to each side




{{{8a=9a+9}}}Add 9 to both sides



{{{8a-9a=+9}}} Subtract 9a from both sides



{{{-a=9}}} Combine like terms on the left side



{{{a=(9)/(-1)}}} Divide both sides by -1 to isolate a




{{{a=-9}}} Divide


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

Answer:

So our answer is {{{a=-9}}}