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1/x-3+4=21/x-3
We move all terms to the left:
1/x-3+4-(21/x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-3)!=0We add all the numbers together, and all the variables
x∈R
1/x-(21/x-3)+1=0
We get rid of parentheses
1/x-21/x+3+1=0
We multiply all the terms by the denominator
3*x+1*x+1-21=0
We add all the numbers together, and all the variables
4x-20=0
We move all terms containing x to the left, all other terms to the right
4x=20
x=20/4
x=5
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