1/(x+7)=4/(x+7)-2

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Solution for 1/(x+7)=4/(x+7)-2 equation: 



1/(x+7)=4/(x+7)-2

We move all terms to the left:

1/(x+7)-(4/(x+7)-2)=0



Domain of the equation: (x+7)!=0

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

x!=-7

x∈R





Domain of the equation: (x+7)-2)!=0

x∈R



We calculate fractions


(1*(x+7))/((x+7)*(x+7))+(-(4*(x+7))/((x+7)*(x+7))=0



We calculate terms in parentheses: +(1*(x+7))/((x+7)*(x+7)), so:

1*(x+7))/((x+7)*(x+7)

We multiply all the terms by the denominator


1*(x+7))

Back to the equation:

+(1*(x+7)))





We calculate terms in parentheses: +(-(4*(x+7))/((x+7)*(x+7)), so:

-(4*(x+7))/((x+7)*(x+7)

We multiply all the terms by the denominator


-(4*(x+7))



We calculate terms in parentheses: -(4*(x+7)), so:

4*(x+7)

We multiply parentheses

4x+28

Back to the equation:

-(4x+28)



We get rid of parentheses

-4x-28

Back to the equation:

+(-4x-28)



We add all the numbers together, and all the variables

-4x+(1*(x+7)))+(=0

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