2/(x-2)=5

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Solution for 2/(x-2)=5 equation:



2/(x-2)=5
We move all terms to the left:
2/(x-2)-(5)=0
Domain of the equation: (x-2)!=0
We move all terms containing x to the left, all other terms to the right
x!=2
x∈R
We multiply all the terms by the denominator
-5*(x-2)+2=0
We multiply parentheses
-5x+10+2=0
We add all the numbers together, and all the variables
-5x+12=0
We move all terms containing x to the left, all other terms to the right
-5x=-12
x=-12/-5
x=2+2/5

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