3/x-3+5=23/x-5

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Solution for 3/x-3+5=23/x-5 equation:



3/x-3+5=23/x-5
We move all terms to the left:
3/x-3+5-(23/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
3/x-(23/x-5)+2=0
We get rid of parentheses
3/x-23/x+5+2=0
We multiply all the terms by the denominator
5*x+2*x+3-23=0
We add all the numbers together, and all the variables
7x-20=0
We move all terms containing x to the left, all other terms to the right
7x=20
x=20/7
x=2+6/7

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