Question 134314


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




{{{(4)(x/cross(2)-3+x/cross(4))=(4)(2)}}} Multiply both sides by the LCM of 4. 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>)




{{{2x-12+x=8}}} Distribute and multiply the LCM to each side




{{{3x-12=8}}} Combine like terms on the left side



{{{3x=8+12}}}Add 12 to both sides



{{{3x=20}}} Combine like terms on the right side



{{{x=(20)/(3)}}} Divide both sides by 3 to isolate x




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Answer:

So our answer is {{{x=20/3}}}  (which is approximately {{{x=6.667}}} in decimal form)