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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)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
x!=1
x∈R
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
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