(x+2)/x=3/2

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Solution for (x+2)/x=3/2 equation:



(x+2)/x=3/2
We move all terms to the left:
(x+2)/x-(3/2)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
(x+2)/x-(+3/2)=0
We get rid of parentheses
(x+2)/x-3/2=0
We calculate fractions
(2x+4)/2x+(-3x)/2x=0
We multiply all the terms by the denominator
(2x+4)+(-3x)=0
We get rid of parentheses
2x-3x+4=0
We add all the numbers together, and all the variables
-1x+4=0
We move all terms containing x to the left, all other terms to the right
-x=-4
x=-4/-1
x=+4

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