SOLUTION: Please help with this problem 1/2x - 2 = 1/3(x-2) Your help will be greatfully appreciated because I'm confused.

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Question 101667This question is from textbook
: Please help with this problem
1/2x - 2 = 1/3(x-2)
Your help will be greatfully appreciated because I'm confused. This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29x - 2 = %281%2F3%29%28x-2%29
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The first thing you want to do is get rid of the fractions, multiplying by 6 will do it:
6*%281%2F2%29x - 6(2) = 6*%281%2F3%29%28x-2%29
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Cancel out the denominators and you have:
3x - 12 = 2(x-2)
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Multiply what's inside the brackets:
3x - 12 = 2x - 4
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3x - 2x = -4 + 12; do some basic algebra
:
1x = 8
or
x = 8
:
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Substitute 8 for x in the original equation and see if it is true
%281%2F2%298 - 2 = %281%2F3%29%288-2%29
4 - 2 = 1%2F3*6; confirms our solution
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Did this unconfuse you, any questions?