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4.2=(10.8+5x)/x+3
We move all terms to the left:
4.2-((10.8+5x)/x+3)=0
Domain of the equation: x+3)!=0We add all the numbers together, and all the variables
x∈R
-((5x+10.8)/x+3)+4.2=0
We multiply all the terms by the denominator
-((5x+10.8)+(4.2)*x+3)=0
We calculate terms in parentheses: -((5x+10.8)+(4.2)*x+3), so:We get rid of parentheses
(5x+10.8)+(4.2)*x+3
We multiply parentheses
(5x+10.8)+4.2x+3
We get rid of parentheses
5x+4.2x+10.8+3
We add all the numbers together, and all the variables
9.2x+13.8
Back to the equation:
-(9.2x+13.8)
-9.2x-13.8=0
We move all terms containing x to the left, all other terms to the right
-9.2x=13.8
x=13.8/-9.2
x=-1+2.875/5.75
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