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(x+4)/(x-2)=5x/x-1
We move all terms to the left:
(x+4)/(x-2)-(5x/x-1)=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
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
(x+4)/(x-2)-5x/x+1=0
We calculate fractions
(-5x^2+10x)/(x^2-2x)+(x^2+4x)/(x^2-2x)+1=0
We multiply all the terms by the denominator
(-5x^2+10x)+(x^2+4x)+1*(x^2-2x)=0
We get rid of parentheses
-5x^2+x^2+10x+4x+1*(x^2-2x)=0
We add all the numbers together, and all the variables
-4x^2+14x+1*(x^2-2x)=0
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