(5x+2)/(x-10)=3

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Solution for (5x+2)/(x-10)=3 equation: 



(5x+2)/(x-10)=3

We move all terms to the left:

(5x+2)/(x-10)-(3)=0



Domain of the equation: (x-10)!=0

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

x!=10

x∈R



We multiply all the terms by the denominator


(5x+2)-3*(x-10)=0

We multiply parentheses

(5x+2)-3x+30=0

We get rid of parentheses

5x-3x+2+30=0

We add all the numbers together, and all the variables

2x+32=0

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

2x=-32

x=-32/2

x=-16

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