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7/x-5=15/x+4
We move all terms to the left:
7/x-5-(15/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-15/x-4-5=0
We multiply all the terms by the denominator
-4*x-5*x+7-15=0
We add all the numbers together, and all the variables
-9x-8=0
We move all terms containing x to the left, all other terms to the right
-9x=8
x=8/-9
x=-8/9
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