(3x+4)/(5x-7)=2/3

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Solution for (3x+4)/(5x-7)=2/3 equation: 



(3x+4)/(5x-7)=2/3

We move all terms to the left:

(3x+4)/(5x-7)-(2/3)=0



Domain of the equation: (5x-7)!=0

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

5x!=7

x!=7/5

x!=1+2/5

x∈R



We add all the numbers together, and all the variables

(3x+4)/(5x-7)-(+2/3)=0

We get rid of parentheses

(3x+4)/(5x-7)-2/3=0

We calculate fractions


(9x+12)/(15x-21)+(-10x+14)/(15x-21)=0

We multiply all the terms by the denominator


(9x+12)+(-10x+14)=0

We get rid of parentheses

9x-10x+12+14=0

We add all the numbers together, and all the variables

-1x+26=0

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

-x=-26

x=-26/-1

x=+26

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