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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