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10=(x+5)/(x+3)
We move all terms to the left:
10-((x+5)/(x+3))=0
Domain of the equation: (x+3))!=0We multiply all the terms by the denominator
x∈R
-((x+5)+10*(x+3))=0
We calculate terms in parentheses: -((x+5)+10*(x+3)), so:We get rid of parentheses
(x+5)+10*(x+3)
We multiply parentheses
(x+5)+10x+30
We get rid of parentheses
x+10x+5+30
We add all the numbers together, and all the variables
11x+35
Back to the equation:
-(11x+35)
-11x-35=0
We move all terms containing x to the left, all other terms to the right
-11x=35
x=35/-11
x=-3+2/11
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