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12.8/x-3=10/x+5
We move all terms to the left:
12.8/x-3-(10/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We get rid of parentheses
x∈R
12.8/x-10/x-5-3=0
We multiply all the terms by the denominator
-5*x-3*x+12.8-10=0
We add all the numbers together, and all the variables
-8x+2.8=0
We move all terms containing x to the left, all other terms to the right
-8x=-2.8
x=-2.8/-8
x=1/2.8571428571429
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