Question 118644
Do you want to solve for x?




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




{{{(6)((1/2)x-2)=(6)((1/3)(x-2))}}} 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-12=2(x-2)}}} Distribute and multiply the LCM to each side




{{{3x-12=2x-4}}} Distribute



{{{3x=2x-4+12}}}Add 12 to both sides



{{{3x-2x=-4+12}}} Subtract 2x from both sides



{{{x=-4+12}}} Combine like terms on the left side



{{{x=8}}} Combine like terms on the right side


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Answer:

So our answer is {{{x=8}}}