SOLUTION: 1/2x-4=1/3x-2

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Question 94427: 1/2x-4=1/3x-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29x-4=%281%2F3%29x-2 Start with the given equation


%286%29%28%281%2F2%29x-4%29=%286%29%28%281%2F3%29x-2%29 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 solver)



3x-24=2x-12 Distribute and multiply 6 by each term on both sides





3x=2x-12%2B24 Add 24 to both sides


3x-2x=-12%2B24 Subtract 2x from both sides



1+x=-12%2B24 Combine like terms 3+x and -2+x on the left side to get 1+x




1+x=12 Combine like terms 24 and -12 on the right side to get 12


So our answer is
x=+12



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Check:
3x-24=2x-12 Start with the given equation


3%2812%29-24=2%2812%29-12 Plug in x=12




36-24=24-12 Multiply


12=12 Combine like terms. Since the two sides of the equation are equal, this verifies our answer.