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1/(x-6)=4
We move all terms to the left:
1/(x-6)-(4)=0
Domain of the equation: (x-6)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=6
x∈R
-4*(x-6)+1=0
We multiply parentheses
-4x+24+1=0
We add all the numbers together, and all the variables
-4x+25=0
We move all terms containing x to the left, all other terms to the right
-4x=-25
x=-25/-4
x=6+1/4
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