(x+6)/(x-3)=10

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Solution for (x+6)/(x-3)=10 equation: 



(x+6)/(x-3)=10

We move all terms to the left:

(x+6)/(x-3)-(10)=0



Domain of the equation: (x-3)!=0

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

x!=3

x∈R



We multiply all the terms by the denominator


(x+6)-10*(x-3)=0

We multiply parentheses

(x+6)-10x+30=0

We get rid of parentheses

x-10x+6+30=0

We add all the numbers together, and all the variables

-9x+36=0

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

-9x=-36

x=-36/-9

x=+4

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