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