(2+2x)/(2-x)=4

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Solution for (2+2x)/(2-x)=4 equation:



(2+2x)/(2-x)=4
We move all terms to the left:
(2+2x)/(2-x)-(4)=0
Domain of the equation: (2-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-2
x!=-2/-1
x!=+2
x∈R
We add all the numbers together, and all the variables
(2x+2)/(-1x+2)-4=0
We multiply all the terms by the denominator
(2x+2)-4*(-1x+2)=0
We multiply parentheses
(2x+2)+4x-8=0
We get rid of parentheses
2x+4x+2-8=0
We add all the numbers together, and all the variables
6x-6=0
We move all terms containing x to the left, all other terms to the right
6x=6
x=6/6
x=1

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