24/(5x+4)=4/(x-1)

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Solution for 24/(5x+4)=4/(x-1) equation: 



24/(5x+4)=4/(x-1)

We move all terms to the left:

24/(5x+4)-(4/(x-1))=0



Domain of the equation: (5x+4)!=0

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

5x!=-4

x!=-4/5

x!=-4/5

x∈R





Domain of the equation: (x-1))!=0

x∈R



We calculate fractions


24x/((5x+4)*(x-1)))+(-(4*(5x+4))/((5x+4)*(x-1)))=0



We calculate terms in parentheses: -(4*(5x+4))/((5x+4)*(x-1))), so:

4*(5x+4))/((5x+4)*(x-1))

We multiply all the terms by the denominator


4*(5x+4))

We multiply parentheses

20x+

We add all the numbers together, and all the variables

20x

Back to the equation:

-(20x)



We add all the numbers together, and all the variables

-20x+24x/((5x+4)*(x-1)))+(=0

We multiply all the terms by the denominator


-20x*((5x+4)*(x-1)))+(+24x=0

We add all the numbers together, and all the variables

24x-20x*((5x+4)*(x-1)))+(=0

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