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

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



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

We move all terms to the left:

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



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

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

x!=5

x∈R



We multiply all the terms by the denominator


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

We multiply parentheses

(3x+2)-8x+40=0

We get rid of parentheses

3x-8x+2+40=0

We add all the numbers together, and all the variables

-5x+42=0

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

-5x=-42

x=-42/-5

x=8+2/5

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