x/x-3+9=3/x-3

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Solution for x/x-3+9=3/x-3 equation:



x/x-3+9=3/x-3
We move all terms to the left:
x/x-3+9-(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)+6=0
We get rid of parentheses
x/x-3/x+3+6=0
Fractions to decimals
-3/x+3+6+1=0
We multiply all the terms by the denominator
3*x+6*x+1*x-3=0
We add all the numbers together, and all the variables
10x-3=0
We move all terms containing x to the left, all other terms to the right
10x=3
x=3/10
x=3/10

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