SOLUTION: Could you help me to solve this X+3/2 - x-8/6 = 3 Thank you. James

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Question 92083: Could you help me to solve this
X+3/2 - x-8/6 = 3 Thank you. James
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean, (a couple sets of brackets would help a lot here):
%28%28x%2B3%29%29%2F2 - %28%28x-8%29%29%2F6 = 3
:
Multiply by 6 to get rid of the denominators
%286%28x%2B3%29%29%2F2 - %286%28x-8%29%29%2F6 = 6(3)
Resulting in:
3(x+3) - (x-8) = 18
:
3x + 9 - x + 8 = 18; a neg outside the brackets changes the sign inside the brackets
:
2x + 17 = 18
:
2x = 18 - 17
:
x = 1/2
:
x = .5
:
:
Check solution in original equation:
%28%28.5%2B3%29%29%2F2 - %28%28.5-8%29%29%2F6 = 3
:
%28%283.5%29%29%2F2 - %28%28-7.5%29%29%2F6 = 3
:
1.75 - (-1.25) = 3; minus a minus is a plus