SOLUTION: Solve. 5x-1/2=4- x/2

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Question 499723: Solve.
5x-1/2=4- x/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x-1%2F2=4-x%2F2 Start with the given equation.


2%285x-1%2Fcross%282%29%29=2%284-x%2Fcross%282%29%29 Multiply both sides by the LCD 2 to clear any fractions.


10x-1=8-1x Distribute and multiply.


10x=8-x%2B1 Add 1 to both sides.


10x%2Bx=8%2B1 Add x to both sides.


11x=8%2B1 Combine like terms on the left side.


11x=9 Combine like terms on the right side.


x=%289%29%2F%2811%29 Divide both sides by 11 to isolate x.


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Answer:

So the solution is x=9%2F11