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10-3/x=4+5/x
We move all terms to the left:
10-3/x-(4+5/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
-3/x-(5/x+4)+10=0
We get rid of parentheses
-3/x-5/x-4+10=0
We multiply all the terms by the denominator
-4*x+10*x-3-5=0
We add all the numbers together, and all the variables
6x-8=0
We move all terms containing x to the left, all other terms to the right
6x=8
x=8/6
x=1+1/3
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