5/2x=8/(3x-6)

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Solution for 5/2x=8/(3x-6) equation: 



5/2x=8/(3x-6)

We move all terms to the left:

5/2x-(8/(3x-6))=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: (3x-6))!=0

x∈R



We calculate fractions


15x/(-6x^2)+(-(8*2x)/(-6x^2)=0



We calculate terms in parentheses: +(-(8*2x)/(-6x^2), so:

-(8*2x)/(-6x^2

We add all the numbers together, and all the variables

-(+8*2x)/(-6x^2

We multiply all the terms by the denominator


-(+8*2x)

We get rid of parentheses

-8*2x

Wy multiply elements

-16x

Back to the equation:

+(-16x)



We get rid of parentheses

15x/(-6x^2)-16x=0

We multiply all the terms by the denominator


-16x*(-6x^2)+15x=0

We multiply parentheses

96x^3+15x=0

We do not support expression: x^3

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