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

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



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

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: (x-2))!=0

x∈R



We calculate fractions


3x/(-2x^2)+(-(2*2x)/(-2x^2)=0



We calculate terms in parentheses: +(-(2*2x)/(-2x^2), so:

-(2*2x)/(-2x^2

We add all the numbers together, and all the variables

-(+2*2x)/(-2x^2

We multiply all the terms by the denominator


-(+2*2x)

We get rid of parentheses

-2*2x

Wy multiply elements

-4x

Back to the equation:

+(-4x)



We get rid of parentheses

3x/(-2x^2)-4x=0

We multiply all the terms by the denominator


-4x*(-2x^2)+3x=0

We multiply parentheses

8x^3+3x=0

We do not support expression: x^3

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