3x/x-2=1+6/x-3

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Solution for 3x/x-2=1+6/x-3 equation: 



3x/x-2=1+6/x-3

We move all terms to the left:

3x/x-2-(1+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

3x/x-(6/x-2)-2=0

We get rid of parentheses

3x/x-6/x+2-2=0

We multiply all the terms by the denominator


3x+2*x-2*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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