3.5=(45-x)/x

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Solution for 3.5=(45-x)/x equation:



3.5=(45-x)/x
We move all terms to the left:
3.5-((45-x)/x)=0
Domain of the equation: x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
-((-1x+45)/x)+3.5=0
We multiply all the terms by the denominator
-((-1x+45)+(3.5)*x)=0
We calculate terms in parentheses: -((-1x+45)+(3.5)*x), so:
(-1x+45)+(3.5)*x
We multiply parentheses
(-1x+45)+3.5x
We get rid of parentheses
-1x+3.5x+45
We add all the numbers together, and all the variables
2.5x+45
Back to the equation:
-(2.5x+45)
We get rid of parentheses
-2.5x-45=0
We move all terms containing x to the left, all other terms to the right
-2.5x=45
x=45/-2.5
x=-18

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