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7/x+5=4/x-4
We move all terms to the left:
7/x+5-(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
7/x-4/x+4+5=0
We multiply all the terms by the denominator
4*x+5*x+7-4=0
We add all the numbers together, and all the variables
9x+3=0
We move all terms containing x to the left, all other terms to the right
9x=-3
x=-3/9
x=-1/3
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