1/(x-4)=6

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Solution for 1/(x-4)=6 equation:



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

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