Question 563537
{{{(2/(x+3))    -   (( 2x+3)/(x-1))    = ((6x-5)/(x^2+2x-3))}}}

{{{(2/(x+3))    -   (( 2x+3)/(x-1))    = ((6x-5)/((x+3)(x-1)))}}}

LCD = (x+3) (x-1)

Multiply the equation by LCD


{{{((2(cross(x+3))(x-1))/(cross(x+3)))-(( 2x+3)(x+3)(cross(x-1)))/(cross(x-1)))}}}={{{(6x-5)*(cross(x+3)(cross(x-1)))/(cross(x+3)(cross(x-1)))}}}


{{{2x-2 -(2x^2+9x+9)=6x-5}}}

{{{2x-2-2x^2-9x-9-6x+5=0}}}

{{{-2x^2-13x-6=0}}}

{{{2x^2+13x+6=0}}}

{{{2x^2+x+12x+6}}}

{{{x(2x+1)+6(2x+1)=0}}}

(x+6)(2x+1)=0
x=-6 OR -0.5

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