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

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



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

We move all terms to the left:

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



Domain of the equation: (7x-2)!=0

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

7x!=2

x!=2/7

x!=2/7

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(20x+12)/(28x-8)+(-21x+6)/(28x-8)=0

We multiply all the terms by the denominator


(20x+12)+(-21x+6)=0

We get rid of parentheses

20x-21x+12+6=0

We add all the numbers together, and all the variables

-1x+18=0

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

-x=-18

x=-18/-1

x=+18

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