(3x-4)/(5x-16)=15/21

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Solution for (3x-4)/(5x-16)=15/21 equation: 



(3x-4)/(5x-16)=15/21

We move all terms to the left:

(3x-4)/(5x-16)-(15/21)=0



Domain of the equation: (5x-16)!=0

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

5x!=16

x!=16/5

x!=3+1/5

x∈R



We add all the numbers together, and all the variables

(3x-4)/(5x-16)-(+15/21)=0

We get rid of parentheses

(3x-4)/(5x-16)-15/21=0

We calculate fractions


(63x-84)/(105x-336)+(-75x+240)/(105x-336)=0

We multiply all the terms by the denominator


(63x-84)+(-75x+240)=0

We get rid of parentheses

63x-75x-84+240=0

We add all the numbers together, and all the variables

-12x+156=0

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

-12x=-156

x=-156/-12

x=+13

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