Question 119833


{{{x/3-1/4=(3x-8)/12}}} Start with the given equation




{{{(12)(x/3-1/4)=(12)((3x-8)/12)}}} 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>)




{{{4x-3=3x-8}}} Distribute and multiply the LCM to each side




{{{4x-3=3x-8}}} Distribute



{{{4x=3x-8+3}}}Add 3 to both sides



{{{4x-3x=-8+3}}} Subtract 3x from both sides



{{{x=-8+3}}} Combine like terms on the left side



{{{x=-5}}} Combine like terms on the right side


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

Answer:

So our answer is {{{x=-5}}}