(20-6x)=1/(30-4x)

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Solution for (20-6x)=1/(30-4x) equation:



(20-6x)=1/(30-4x)
We move all terms to the left:
(20-6x)-(1/(30-4x))=0
Domain of the equation: (30-4x))!=0
We move all terms containing x to the left, all other terms to the right
-4x)!=-30
x!=-30/1
x!=-30
x∈R
We add all the numbers together, and all the variables
(-6x+20)-(1/(-4x+30))=0
We get rid of parentheses
-6x-(1/(-4x+30))+20=0
We multiply all the terms by the denominator
-6x*(-4x+30))-(1+20*(-4x+30))=0
We multiply parentheses
-6x*(-4x+30))-(1-80x+=0
We add all the numbers together, and all the variables
-80x-6x*(-4x+30))-(1=0

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