5/2-3/2x=3/x

Solution for 5/2-3/2x=3/x equation:

5/2-3/2x=3/x

We move all terms to the left:

5/2-3/2x-(3/x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-3/2x-(+3/x)+5/2=0

We get rid of parentheses

-3/2x-3/x+5/2=0

We calculate fractions


(-3x)/8x^2+(-24x)/8x^2+5x/8x^2=0

We multiply all the terms by the denominator


(-3x)+(-24x)+5x=0

We add all the numbers together, and all the variables

5x+(-3x)+(-24x)=0

We get rid of parentheses

5x-3x-24x=0

We add all the numbers together, and all the variables

-22x=0

x=0/-22

x=0

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