2.5=(x+12)/x

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Solution for 2.5=(x+12)/x equation:



2.5=(x+12)/x
We move all terms to the left:
2.5-((x+12)/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We multiply all the terms by the denominator
-((x+12)+(2.5)*x)=0
We calculate terms in parentheses: -((x+12)+(2.5)*x), so:
(x+12)+(2.5)*x
We multiply parentheses
(x+12)+2.5x
We get rid of parentheses
x+2.5x+12
We add all the numbers together, and all the variables
3.5x+12
Back to the equation:
-(3.5x+12)
We get rid of parentheses
-3.5x-12=0
We move all terms containing x to the left, all other terms to the right
-3.5x=12
x=12/-3.5
x=-3+1/2.3333333333333

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