1/(x-1)+3/(x-1)=-8

Solution for 1/(x-1)+3/(x-1)=-8 equation:

1/(x-1)+3/(x-1)=-8

We move all terms to the left:

1/(x-1)+3/(x-1)-(-8)=0


Domain of the equation: (x-1)!=0

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

x!=1

x∈R


We add all the numbers together, and all the variables

1/(x-1)+3/(x-1)+8=0

We multiply all the terms by the denominator


8*(x-1)+1+3=0

We add all the numbers together, and all the variables

8*(x-1)+4=0

We multiply parentheses

8x-8+4=0

We add all the numbers together, and all the variables

8x-4=0

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

8x=4

x=4/8

x=1/2