Question 206460
{{{x(2P-5)=x-4P}}} Start with the given equation.



{{{2Px-5x=x-4P}}} Distribute



{{{2Px=x-4P+5x}}} Add 5x to both sides.



{{{2Px+4P=x+5x}}} Add 4P to both sides.



{{{2Px+4P=6x}}} Combine like terms.



{{{P(2x+4)=6x}}} Factor out the GCF 'P'



{{{P=(6x)/(2x+4)}}} Divide both sides by {{{2x+4}}} to isolate 'P'.



{{{P=(2*3x)/(2x+4)}}} Factor 6x to get 2*3x



{{{P=(2*3x)/(2(x+2))}}} Factor out the GCF 2 from the denominator.



{{{P=(cross(2)*3x)/(cross(2)(x+2))}}} Cancel out the common terms.



{{{P=(3x)/(x+2)}}} Simplify



So the solution is {{{P=(3x)/(x+2)}}}