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4/x-7=10/x
We move all terms to the left:
4/x-7-(10/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
4/x-(+10/x)-7=0
We get rid of parentheses
4/x-10/x-7=0
We multiply all the terms by the denominator
-7*x+4-10=0
We add all the numbers together, and all the variables
-7x-6=0
We move all terms containing x to the left, all other terms to the right
-7x=6
x=6/-7
x=-6/7
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