1.5=((2-x)/x)

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Solution for 1.5=((2-x)/x) equation:



1.5=((2-x)/x)
We move all terms to the left:
1.5-(((2-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+2)/x))+1.5=0
We multiply all the terms by the denominator
-(((-1x+2)+(1.5)*x))=0
We calculate terms in parentheses: -(((-1x+2)+(1.5)*x)), so:
((-1x+2)+(1.5)*x)
We calculate terms in parentheses: +((-1x+2)+(1.5)*x), so:
(-1x+2)+(1.5)*x
We multiply parentheses
(-1x+2)+1.5x
We get rid of parentheses
-1x+1.5x+2
We add all the numbers together, and all the variables
0.5x+2
Back to the equation:
+(0.5x+2)
We get rid of parentheses
0.5x+2
Back to the equation:
-(0.5x+2)
We get rid of parentheses
-0.5x-2=0
We move all terms containing x to the left, all other terms to the right
-0.5x=2
x=2/-0.5
x=-4

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