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

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



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

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