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

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



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

We move all terms to the left:

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



Domain of the equation: (5x-2)!=0

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

5x!=2

x!=2/5

x!=2/5

x∈R



We multiply all the terms by the denominator


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

We multiply parentheses

(3x+1)-20x+8=0

We get rid of parentheses

3x-20x+1+8=0

We add all the numbers together, and all the variables

-17x+9=0

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

-17x=-9

x=-9/-17

x=9/17

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