1/x-2+3=10/x-2

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Solution for 1/x-2+3=10/x-2 equation:



1/x-2+3=10/x-2
We move all terms to the left:
1/x-2+3-(10/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
1/x-(10/x-2)+1=0
We get rid of parentheses
1/x-10/x+2+1=0
We multiply all the terms by the denominator
2*x+1*x+1-10=0
We add all the numbers together, and all the variables
3x-9=0
We move all terms containing x to the left, all other terms to the right
3x=9
x=9/3
x=3

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