x-5/x-8=x+1/x-5

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Solution for x-5/x-8=x+1/x-5 equation: 



x-5/x-8=x+1/x-5

We move all terms to the left:

x-5/x-8-(x+1/x-5)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-5)!=0

x∈R



We get rid of parentheses

x-5/x-x-1/x+5-8=0

We multiply all the terms by the denominator


x*x-x*x+5*x-8*x-5-1=0

We add all the numbers together, and all the variables

-3x+x*x-x*x-6=0

Wy multiply elements

x^2-1x^2-3x-6=0

We add all the numbers together, and all the variables

-3x-6=0

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

-3x=6

x=6/-3

x=-2

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