Question 105707
{{{(x-4)/(x-5) - 3/(x+5) = 10/((x-5)(x+5))}}}

If you multiply both sides by {{{(x-5)(x+5)}}}

{{{(x-5)(x+5)((x-4)/(x-5) - 3/(x+5) )=(x-5)(x+5)( 10/((x-5)(x+5)))}}}
{{{(x+5)(x-4) - 3(x-5)=10}}}
{{{(x(x-4)+5(x-4))-(3x-15)=10}}}
{{{((x^2-4x)+(5x-20))-(3x-15)=10}}}
{{{x^2+(-4x+5x)-20-3x+15=10}}}
{{{x^2+x-20-3x+15=10}}}
{{{x^2+(x-3x)+(15-20)=10}}}
{{{x^2-2x-5=10}}}
{{{x^2-2x-5-10=10-10}}}
{{{x^2-2x-15=0}}}
{{{(x+3)(x-5)=0}}}
{{{x+3=0}}} or {{{x-5=0}}}
{{{x=-3}}} or {{{x=5}}}


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