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

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



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

We move all terms to the left:

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



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

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

3x!=5

x!=5/3

x!=1+2/3

x∈R



We get rid of parentheses

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

We calculate fractions


(8x-12)/(12x-20)+(9x-15)/(12x-20)=0

We multiply all the terms by the denominator


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

We get rid of parentheses

8x+9x-12-15=0

We add all the numbers together, and all the variables

17x-27=0

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

17x=27

x=27/17

x=1+10/17

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