Question 130373

{{{x/2+x/3=20}}} Start with the given equation




{{{(6)(x/cross(2)+x/cross(3))=(6)(20)}}} Multiply both sides by the LCM of 6. 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>)




{{{3x+2x=120}}} Distribute and multiply the LCM to each side




{{{5x=120}}} Combine like terms on the left side



{{{x=(120)/(5)}}} Divide both sides by 5 to isolate x




{{{x=24}}} Divide


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Answer:

So our answer is {{{x=24}}}