Question 113510


{{{(3/4)x-2=5+(2/3)x}}} Start with the given equation




{{{(12)((3/4)x-2)=(12)(5+(2/3)x)}}} 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>)




{{{9x-24=60+8x}}} Distribute and multiply the LCM to each side




{{{9x=60+8x+24}}}Add 24 to both sides



{{{9x-8x=60+24}}} Subtract 8x from both sides



{{{x=60+24}}} Combine like terms on the left side



{{{x=84}}} Combine like terms on the right side


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Answer:

So our answer is {{{x=84}}}