X=x+5/x-4

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Solution for X=x+5/x-4 equation: 



X=X+5/X-4

We move all terms to the left:

X-(X+5/X-4)=0



Domain of the equation: X-4)!=0

X∈R



We get rid of parentheses

X-X-5/X+4=0

We multiply all the terms by the denominator


X*X-X*X+4*X-5=0

We add all the numbers together, and all the variables

4X+X*X-X*X-5=0

Wy multiply elements

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

We add all the numbers together, and all the variables

4X-5=0

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

4X=5

X=5/4

X=1+1/4

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