x/x-3+1=3/x-3

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Solution for x/x-3+1=3/x-3 equation:



x/x-3+1=3/x-3
We move all terms to the left:
x/x-3+1-(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
2x-3=0
We move all terms containing x to the left, all other terms to the right
2x=3
x=3/2
x=1+1/2

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