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10-13/x=4+3/x
We move all terms to the left:
10-13/x-(4+3/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-13/x-(3/x+4)+10=0
We get rid of parentheses
-13/x-3/x-4+10=0
We multiply all the terms by the denominator
-4*x+10*x-13-3=0
We add all the numbers together, and all the variables
6x-16=0
We move all terms containing x to the left, all other terms to the right
6x=16
x=16/6
x=2+2/3
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