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

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



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

We move all terms to the left:

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



Domain of the equation: (x-5)!=0

We move all terms containing x to the left, all other terms to the right

x!=5

x∈R





Domain of the equation: (2x-3))!=0

x∈R



We calculate fractions


4x/((x-5)*(2x-3)))+(-(3*(x-5))/((x-5)*(2x-3)))=0



We calculate terms in parentheses: -(3*(x-5))/((x-5)*(2x-3))), so:

3*(x-5))/((x-5)*(2x-3))

We multiply all the terms by the denominator


3*(x-5))

We multiply parentheses

3x+

We add all the numbers together, and all the variables

3x

Back to the equation:

-(3x)



We add all the numbers together, and all the variables

-3x+4x/((x-5)*(2x-3)))+(=0

We multiply all the terms by the denominator


-3x*((x-5)*(2x-3)))+(+4x=0

We add all the numbers together, and all the variables

4x-3x*((x-5)*(2x-3)))+(=0

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