5/x-5=3+x/x-5

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



5/x-5=3+x/x-5
We move all terms to the left:
5/x-5-(3+x/x-5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-5)!=0
x∈R
We add all the numbers together, and all the variables
5/x-(x/x-2)-5=0
We get rid of parentheses
5/x-x/x+2-5=0
Fractions to decimals
5/x+2-5+1=0
We multiply all the terms by the denominator
2*x-5*x+1*x+5=0
We add all the numbers together, and all the variables
-2x+5=0
We move all terms containing x to the left, all other terms to the right
-2x=-5
x=-5/-2
x=2+1/2

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