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

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



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

We move all terms to the left:

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



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

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

4x!=5

x!=5/4

x!=1+1/4

x∈R





Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


20x/(20x^2-25x)+(-16x+20)/(20x^2-25x)=0

We multiply all the terms by the denominator


20x+(-16x+20)=0

We get rid of parentheses

20x-16x+20=0

We add all the numbers together, and all the variables

4x+20=0

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

4x=-20

x=-20/4

x=-5

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