(x+40)/(30-x)=6

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Solution for (x+40)/(30-x)=6 equation: 



(x+40)/(30-x)=6

We move all terms to the left:

(x+40)/(30-x)-(6)=0



Domain of the equation: (30-x)!=0

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

-x!=-30

x!=-30/-1

x!=+30

x∈R



We add all the numbers together, and all the variables

(x+40)/(-1x+30)-6=0

We multiply all the terms by the denominator


(x+40)-6*(-1x+30)=0

We multiply parentheses

(x+40)+6x-180=0

We get rid of parentheses

x+6x+40-180=0

We add all the numbers together, and all the variables

7x-140=0

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

7x=140

x=140/7

x=20

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