(2x+1)/(3x-2)=5/4

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Solution for (2x+1)/(3x-2)=5/4 equation: 



(2x+1)/(3x-2)=5/4

We move all terms to the left:

(2x+1)/(3x-2)-(5/4)=0



Domain of the equation: (3x-2)!=0

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

3x!=2

x!=2/3

x!=2/3

x∈R



We add all the numbers together, and all the variables

(2x+1)/(3x-2)-(+5/4)=0

We get rid of parentheses

(2x+1)/(3x-2)-5/4=0

We calculate fractions


(8x+4)/(12x-8)+(-15x+10)/(12x-8)=0

We multiply all the terms by the denominator


(8x+4)+(-15x+10)=0

We get rid of parentheses

8x-15x+4+10=0

We add all the numbers together, and all the variables

-7x+14=0

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

-7x=-14

x=-14/-7

x=+2

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