(X+8)/(5x-2)=3/8

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Solution for (X+8)/(5x-2)=3/8 equation: 



(X+8)/(5X-2)=3/8

We move all terms to the left:

(X+8)/(5X-2)-(3/8)=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 add all the numbers together, and all the variables

(X+8)/(5X-2)-(+3/8)=0

We get rid of parentheses

(X+8)/(5X-2)-3/8=0

We calculate fractions


(8X+64)/(40X-16)+(-15X+6)/(40X-16)=0

We multiply all the terms by the denominator


(8X+64)+(-15X+6)=0

We get rid of parentheses

8X-15X+64+6=0

We add all the numbers together, and all the variables

-7X+70=0

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

-7X=-70

X=-70/-7

X=+10

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