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

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



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

We move all terms to the left:

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



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(9x+15)/(12x+15)+(-8x-10)/(12x+15)=0

We multiply all the terms by the denominator


(9x+15)+(-8x-10)=0

We get rid of parentheses

9x-8x+15-10=0

We add all the numbers together, and all the variables

x+5=0

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

x=-5

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