2x/x-3=6/x-3+5

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Solution for 2x/x-3=6/x-3+5 equation:



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

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