2x/x-3+3=6/x-3

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Solution for 2x/x-3+3=6/x-3 equation:



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

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