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

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



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

We move all terms to the left:

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



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

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

-x!=-5

x!=-5/-1

x!=+5

x∈R



We add all the numbers together, and all the variables

(x+2)/(-1x+5)-(-2)=0

We add all the numbers together, and all the variables

(x+2)/(-1x+5)+2=0

We multiply all the terms by the denominator


(x+2)+2*(-1x+5)=0

We multiply parentheses

(x+2)-2x+10=0

We get rid of parentheses

x-2x+2+10=0

We add all the numbers together, and all the variables

-1x+12=0

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

-x=-12

x=-12/-1

x=+12

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