x/(x-5)=x/(x-4)

Solution for x/(x-5)=x/(x-4) equation:

x/(x-5)=x/(x-4)

We move all terms to the left:

x/(x-5)-(x/(x-4))=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: (x-4))!=0

x∈R


We calculate fractions


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


We calculate terms in parentheses: -(x*(x-5))/((x-5)*(x-4))), so:

x*(x-5))/((x-5)*(x-4))

We multiply all the terms by the denominator


x*(x-5))

We multiply parentheses

x^2-5x^2

We add all the numbers together, and all the variables

-4x^2

Back to the equation:

-(-4x^2)


We get rid of parentheses

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

We multiply all the terms by the denominator


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

We get rid of parentheses

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