-4/(m-3)=-5/(5-m)

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Solution for -4/(m-3)=-5/(5-m) equation: 



-4/(m-3)=-5/(5-m)

We move all terms to the left:

-4/(m-3)-(-5/(5-m))=0



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

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

m!=3

m∈R





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

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

-m)!=-5

m!=-5/1

m!=-5

m∈R



We add all the numbers together, and all the variables

-4/(m-3)-(-5/(-1m+5))=0

We calculate fractions


4m/((m-3)*(-1m+5)))+(-(-5*(m-3))/((m-3)*(-1m+5)))=0



We calculate terms in parentheses: -(-5*(m-3))/((m-3)*(-1m+5))), so:

-5*(m-3))/((m-3)*(-1m+5))

We multiply all the terms by the denominator


-5*(m-3))

We multiply parentheses

-5m-

We add all the numbers together, and all the variables

-5m

Back to the equation:

-(-5m)



We get rid of parentheses

4m/((m-3)*(-1m+5)))+(+5m=0

We multiply all the terms by the denominator


4m+5m*((m-3)*(-1m+5)))+(=0

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