x+4/x-2=x-5/x-8

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Solution for x+4/x-2=x-5/x-8 equation: 



x+4/x-2=x-5/x-8

We move all terms to the left:

x+4/x-2-(x-5/x-8)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-8)!=0

x∈R



We get rid of parentheses

x+4/x-x+5/x+8-2=0

We multiply all the terms by the denominator


x*x-x*x+8*x-2*x+4+5=0

We add all the numbers together, and all the variables

6x+x*x-x*x+9=0

Wy multiply elements

x^2-1x^2+6x+9=0

We add all the numbers together, and all the variables

6x+9=0

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

6x=-9

x=-9/6

x=-1+1/2

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