6/(x-9)=5

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Solution for 6/(x-9)=5 equation:



6/(x-9)=5
We move all terms to the left:
6/(x-9)-(5)=0
Domain of the equation: (x-9)!=0
We move all terms containing x to the left, all other terms to the right
x!=9
x∈R
We multiply all the terms by the denominator
-5*(x-9)+6=0
We multiply parentheses
-5x+45+6=0
We add all the numbers together, and all the variables
-5x+51=0
We move all terms containing x to the left, all other terms to the right
-5x=-51
x=-51/-5
x=10+1/5

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