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

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

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

We move all terms to the left:

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


Domain of the equation: (3-5x)!=0

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

-5x!=-3

x!=-3/-5

x!=3/5

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(14x+21)/(-35x+21)+(20x-12)/(-35x+21)=0

We multiply all the terms by the denominator


(14x+21)+(20x-12)=0

We get rid of parentheses

14x+20x+21-12=0

We add all the numbers together, and all the variables

34x+9=0

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

34x=-9

x=-9/34

x=-9/34