x-6/x-5=x-1/x+5

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Solution for x-6/x-5=x-1/x+5 equation: 



x-6/x-5=x-1/x+5

We move all terms to the left:

x-6/x-5-(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-6/x-x+1/x-5-5=0

We multiply all the terms by the denominator


x*x-x*x-5*x-5*x-6+1=0

We add all the numbers together, and all the variables

-10x+x*x-x*x-5=0

Wy multiply elements

x^2-1x^2-10x-5=0

We add all the numbers together, and all the variables

-10x-5=0

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

-10x=5

x=5/-10

x=-1/2

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