x-6/x-2=x+5/x+4+1

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Solution for x-6/x-2=x+5/x+4+1 equation: 



x-6/x-2=x+5/x+4+1

We move all terms to the left:

x-6/x-2-(x+5/x+4+1)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x+4+1)!=0

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

x+1)!=-4

x∈R



We add all the numbers together, and all the variables

x-6/x-(x+5/x+5)-2=0

We get rid of parentheses

x-6/x-x-5/x-5-2=0

We multiply all the terms by the denominator


x*x-x*x-5*x-2*x-6-5=0

We add all the numbers together, and all the variables

-7x+x*x-x*x-11=0

Wy multiply elements

x^2-1x^2-7x-11=0

We add all the numbers together, and all the variables

-7x-11=0

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

-7x=11

x=11/-7

x=-1+4/7

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