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

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



x/x-2+3=2/x-2
We move all terms to the left:
x/x-2+3-(2/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
x/x-(2/x-2)+1=0
We get rid of parentheses
x/x-2/x+2+1=0
Fractions to decimals
-2/x+2+1+1=0
We multiply all the terms by the denominator
2*x+1*x+1*x-2=0
We add all the numbers together, and all the variables
4x-2=0
We move all terms containing x to the left, all other terms to the right
4x=2
x=2/4
x=1/2

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