Question 119038


{{{w/4+5=w/3+10}}} Start with the given equation




{{{(12)(w/4+5)=(12)(w/3+10)}}} 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>)




{{{3w+60=4w+120}}} Distribute and multiply the LCM to each side




{{{3w=4w+120-60}}}Subtract 60 from both sides



{{{3w-4w=120-60}}} Subtract 4w from both sides



{{{-w=120-60}}} Combine like terms on the left side



{{{-w=60}}} Combine like terms on the right side



{{{w=(60)/(-1)}}} Divide both sides by -1 to isolate w




{{{w=-60}}} Divide


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Answer:

So our answer is {{{w=-60}}}