SOLUTION: can you please help me solve and check: (((x-2 over 2 - x+2 over4 = 1 over 2)))

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Question 152644This question is from textbook Algebra structure and method book 1
: can you please help me solve and check: (((x-2 over 2 - x+2 over4 = 1 over 2))) This question is from textbook Algebra structure and method book 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F2-%28x%2B2%29%2F4=1%2F2 Start with the given equation.


4%28x-2%29%2Fcross%282%29-cross%284%29%28x%2B2%29%2Fcross%284%29=4%281%2Fcross%282%29%29 Multiply every term by the LCD 4 to clear the fractions.


2%28x-2%29-%28x%2B2%29=2 Simplify


2x-4-x-2=2 Distribute.


x-6=2 Combine like terms on the left side.


x=2%2B6 Add 6 to both sides.


x=8 Combine like terms on the right side.


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Answer:

So the answer is x=8