<PRE><B>Question 191305</B>
{{{(x+3)/(x-1)=(x+4)/(x-5)}}} Start with the given equation.



{{{(x+3)(x-5)=(x-1)(x+4)}}} Cross multiply



{{{x^2-2x-15=x^2+3x-4}}} FOIL (this is where you made a mistake)



{{{x^2-2x-15-x^2-3x+4=0}}} Get everything to the left side



{{{-5x-11=0}}} Combine like terms.



{{{-5x=0+11}}} Add {{{11}}} to both sides.



{{{-5x=11}}} Combine like terms on the right side.



{{{x=(11)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{x}}}.



{{{x=-11/5}}} Reduce.



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Answer:


So the answer is {{{x=-11/5}}} which in decimal form is {{{x=-2.2}}}. </PRE>