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