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8/(x+4)=6/(x-4)
We move all terms to the left:
8/(x+4)-(6/(x-4))=0
Domain of the equation: (x+4)!=0
We move all terms containing x to the left, all other terms to the right
x!=-4
x∈R
Domain of the equation: (x-4))!=0We calculate fractions
x∈R
8x/((x+4)*(x-4)))+(-(6*(x+4))/((x+4)*(x-4)))=0
We calculate terms in parentheses: -(6*(x+4))/((x+4)*(x-4))), so:We add all the numbers together, and all the variables
6*(x+4))/((x+4)*(x-4))
We multiply all the terms by the denominator
6*(x+4))
We multiply parentheses
6x+
We add all the numbers together, and all the variables
6x
Back to the equation:
-(6x)
-6x+8x/((x+4)*(x-4)))+(=0
We multiply all the terms by the denominator
-6x*((x+4)*(x-4)))+(+8x=0
We add all the numbers together, and all the variables
8x-6x*((x+4)*(x-4)))+(=0
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