SOLUTION: Solve for P x(2P-5)=x-4P

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Question 206460: Solve for P
x(2P-5)=x-4P
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%282P-5%29=x-4P Start with the given equation.


2Px-5x=x-4P Distribute


2Px=x-4P%2B5x Add 5x to both sides.


2Px%2B4P=x%2B5x Add 4P to both sides.


2Px%2B4P=6x Combine like terms.


P%282x%2B4%29=6x Factor out the GCF 'P'


P=%286x%29%2F%282x%2B4%29 Divide both sides by 2x%2B4 to isolate 'P'.


P=%282%2A3x%29%2F%282x%2B4%29 Factor 6x to get 2*3x


P=%282%2A3x%29%2F%282%28x%2B2%29%29 Factor out the GCF 2 from the denominator.


P=%28cross%282%29%2A3x%29%2F%28cross%282%29%28x%2B2%29%29 Cancel out the common terms.


P=%283x%29%2F%28x%2B2%29 Simplify


So the solution is P=%283x%29%2F%28x%2B2%29