x/(x+6)=2/5

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



x/(x+6)=2/5

We move all terms to the left:

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



Domain of the equation: (x+6)!=0

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

x!=-6

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


5x/(5x+30)+(-2x-12)/(5x+30)=0

We multiply all the terms by the denominator


5x+(-2x-12)=0

We get rid of parentheses

5x-2x-12=0

We add all the numbers together, and all the variables

3x-12=0

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

3x=12

x=12/3

x=4

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