X/x-3+5=3/x-3

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Solution for X/x-3+5=3/x-3 equation:



X/X-3+5=3/X-3
We move all terms to the left:
X/X-3+5-(3/X-3)=0
Domain of the equation: X!=0
X∈R
Domain of the equation: X-3)!=0
X∈R
We add all the numbers together, and all the variables
X/X-(3/X-3)+2=0
We get rid of parentheses
X/X-3/X+3+2=0
Fractions to decimals
-3/X+3+2+1=0
We multiply all the terms by the denominator
3*X+2*X+1*X-3=0
We add all the numbers together, and all the variables
6X-3=0
We move all terms containing X to the left, all other terms to the right
6X=3
X=3/6
X=1/2

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