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

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Solution for -1/(x+2)=-2/5x equation: 



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

We move all terms to the left:

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



Domain of the equation: (x+2)!=0

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

x!=-2

x∈R





Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R



We get rid of parentheses

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

We calculate fractions


(-5x)/(5x^2+10x)+(2x+4)/(5x^2+10x)=0

We multiply all the terms by the denominator


(-5x)+(2x+4)=0

We get rid of parentheses

-5x+2x+4=0

We add all the numbers together, and all the variables

-3x+4=0

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

-3x=-4

x=-4/-3

x=1+1/3

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