x-1/x-3=x-5/x+2

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Solution for x-1/x-3=x-5/x+2 equation: 



x-1/x-3=x-5/x+2

We move all terms to the left:

x-1/x-3-(x-5/x+2)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x+2)!=0

x∈R



We get rid of parentheses

x-1/x-x+5/x-2-3=0

We multiply all the terms by the denominator


x*x-x*x-2*x-3*x-1+5=0

We add all the numbers together, and all the variables

-5x+x*x-x*x+4=0

Wy multiply elements

x^2-1x^2-5x+4=0

We add all the numbers together, and all the variables

-5x+4=0

We move all terms containing x to the left, all other terms to the right

-5x=-4

x=-4/-5

x=4/5

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