1/(x-4)=-3

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Solution for 1/(x-4)=-3 equation: 



1/(x-4)=-3

We move all terms to the left:

1/(x-4)-(-3)=0



Domain of the equation: (x-4)!=0

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

x!=4

x∈R



We add all the numbers together, and all the variables

1/(x-4)+3=0

We multiply all the terms by the denominator


3*(x-4)+1=0

We multiply parentheses

3x-12+1=0

We add all the numbers together, and all the variables

3x-11=0

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

3x=11

x=11/3

x=3+2/3

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