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3-10/x=7+6/x
We move all terms to the left:
3-10/x-(7+6/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
-10/x-(6/x+7)+3=0
We get rid of parentheses
-10/x-6/x-7+3=0
We multiply all the terms by the denominator
-7*x+3*x-10-6=0
We add all the numbers together, and all the variables
-4x-16=0
We move all terms containing x to the left, all other terms to the right
-4x=16
x=16/-4
x=-4
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