2.5=1/x-2

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Solution for 2.5=1/x-2 equation:



2.5=1/x-2
We move all terms to the left:
2.5-(1/x-2)=0
Domain of the equation: x-2)!=0
x∈R
We get rid of parentheses
-1/x+2+2.5=0
We multiply all the terms by the denominator
2*x+(2.5)*x-1=0
We add all the numbers together, and all the variables
2x+(2.5)*x-1=0
We multiply parentheses
2x+2.5x-1=0
We add all the numbers together, and all the variables
4.5x-1=0
We move all terms containing x to the left, all other terms to the right
4.5x=1
x=1/4.5
x=1/4.5

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