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

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



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

We move all terms to the left:

(4x-5)/(3x-5)-(3/2)=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 add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(8x-10)/(6x-10)+(-9x+15)/(6x-10)=0

We multiply all the terms by the denominator


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

We get rid of parentheses

8x-9x-10+15=0

We add all the numbers together, and all the variables

-1x+5=0

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

-x=-5

x=-5/-1

x=+5

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