Question 120356

{{{2(x-3)=(1/2)x}}} Start with the given equation




{{{(2)(2(x-3))=(2)((1/2)x)}}} Multiply both sides by the LCM of 2. 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>)




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




{{{4x-12=x}}} Distribute



{{{4x=x+12}}}Add 12 to both sides



{{{4x-x=+12}}} Subtract x from both sides



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



{{{x=(12)/(3)}}} Divide both sides by 3 to isolate x




{{{x=4}}} Divide


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Answer:

So our answer is {{{x=4}}}