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(x-1)/(2-x)=2x+1
We move all terms to the left:
(x-1)/(2-x)-(2x+1)=0
Domain of the equation: (2-x)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x!=-2
x!=-2/-1
x!=+2
x∈R
(x-1)/(-1x+2)-(2x+1)=0
We get rid of parentheses
(x-1)/(-1x+2)-2x-1=0
We multiply all the terms by the denominator
(x-1)-2x*(-1x+2)-1*(-1x+2)=0
We multiply parentheses
2x^2+(x-1)-4x-1*(-1x+2)=0
We get rid of parentheses
2x^2+x-4x-1*(-1x+2)-1=0
We add all the numbers together, and all the variables
2x^2-3x-1*(-1x+2)-1=0
We move all terms containing x to the left, all other terms to the right
2x^2-3x-1*(-1x+2)=1
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