SOLUTION: I need to solve this to its simplified form, can you help please? x + 1 _ x - 4 = 1 - x 4 3 2

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Question 103903: I need to solve this to its simplified form, can you help please?
x + 1 _ x - 4 = 1 - x
4 3 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B1%29%2F4-%28x-4%29%2F3=%281-x%29%2F2 Start with the given equation


12%28%28x%2B1%29%2F4-%28x-4%29%2F3%29=12%28%281-x%29%2F2%29 Multiply both sides by the LCD of 12. This will eliminate every fraction


3%28x%2B1%29-4%28x-4%29=6%281-x%29 Distribute and multiply


3x%2B3-4x%2B16=6-6x Distribute again




-x%2B19=6-6x Combine like terms on the left side


-x=6-6x-19Subtract 19 from both sides


-x%2B6x=6-19 Add 6x to both sides


5x=6-19 Combine like terms on the left side


5x=-13 Combine like terms on the right side


x=%28-13%29%2F%285%29 Divide both sides by 5 to isolate x



x=-13%2F5 Reduce

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Answer:
So our answer is x=-13%2F5 (which is x=-2.6 in decimal form)