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!=0
X∈R
Domain of the equation: X-4)!=0
X∈R
We add all the numbers together, and all the variables
X/X-(4/X-4)+1=0
We get rid of parentheses
X/X-4/X+4+1=0
Fractions to decimals
-4/X+4+1+1=0
We multiply all the terms by the denominator
4*X+1*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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