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3/x+5+8=-7/x+5
We move all terms to the left:
3/x+5+8-(-7/x+5)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+5)!=0We add all the numbers together, and all the variables
x∈R
3/x-(-7/x+5)+13=0
We get rid of parentheses
3/x+7/x-5+13=0
We multiply all the terms by the denominator
-5*x+13*x+3+7=0
We add all the numbers together, and all the variables
8x+10=0
We move all terms containing x to the left, all other terms to the right
8x=-10
x=-10/8
x=-1+1/4
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