(2(x+5))/(5-x)=6

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Solution for (2(x+5))/(5-x)=6 equation: 



(2(x+5))/(5-x)=6

We move all terms to the left:

(2(x+5))/(5-x)-(6)=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

(2(x+5))/(-1x+5)-6=0

We multiply all the terms by the denominator


(2(x+5))-6*(-1x+5)=0



We calculate terms in parentheses: +(2(x+5)), so:

2(x+5)

We multiply parentheses

2x+10

Back to the equation:

+(2x+10)



We multiply parentheses

(2x+10)+6x-30=0

We get rid of parentheses

2x+6x+10-30=0

We add all the numbers together, and all the variables

8x-20=0

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

8x=20

x=20/8

x=2+1/2

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