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

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



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

We move all terms to the left:

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



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

X∈R



We get rid of parentheses

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

Fractions to decimals

-4/X-4+4+5+1=0

We multiply all the terms by the denominator


-4*X+4*X+5*X+1*X-4=0

We add all the numbers together, and all the variables

6X-4=0

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

6X=4

X=4/6

X=2/3

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