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

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



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

We move all terms to the left:

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



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

x∈R



We multiply all the terms by the denominator


((5x+3)-8*(x-2))=0



We calculate terms in parentheses: +((5x+3)-8*(x-2)), so:

(5x+3)-8*(x-2)

We multiply parentheses

(5x+3)-8x+16

We get rid of parentheses

5x-8x+3+16

We add all the numbers together, and all the variables

-3x+19

Back to the equation:

+(-3x+19)



We get rid of parentheses

-3x+19=0

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

-3x=-19

x=-19/-3

x=6+1/3

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