SOLUTION: how do you solve 5/2x-1=3/2-4, I have already simplified it to 10x-4=6x-16 but now I am stuck

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Question 658659: how do you solve 5/2x-1=3/2-4, I have already simplified it to 10x-4=6x-16 but now I am stuck

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F2%29x-1=3%2F2-4 Start with the given equation.


2%28%285%2Fcross%282%29%29x-1%29=2%283%2Fcross%282%29-4%29 Multiply both sides by the LCD 2 to clear any fractions.


5x-2=3-8 Distribute and multiply.


5x-2=-5 Combine like terms on the right side.


5x=-5%2B2 Add 2 to both sides.


5x=-3 Combine like terms on the right side.


x=%28-3%29%2F%285%29 Divide both sides by 5 to isolate x.


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Answer:

So the solution is x=-3%2F5