(5x+4)/(x-2)=10

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Solution for (5x+4)/(x-2)=10 equation: 



(5x+4)/(x-2)=10

We move all terms to the left:

(5x+4)/(x-2)-(10)=0



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

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

x!=2

x∈R



We multiply all the terms by the denominator


(5x+4)-10*(x-2)=0

We multiply parentheses

(5x+4)-10x+20=0

We get rid of parentheses

5x-10x+4+20=0

We add all the numbers together, and all the variables

-5x+24=0

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

-5x=-24

x=-24/-5

x=4+4/5

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