(2+2*x)/(2-x)=8

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Solution for (2+2*x)/(2-x)=8 equation:



(2+2*x)/(2-x)=8
We move all terms to the left:
(2+2*x)/(2-x)-(8)=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)-8=0
We multiply all the terms by the denominator
(2x+2)-8*(-1x+2)=0
We multiply parentheses
(2x+2)+8x-16=0
We get rid of parentheses
2x+8x+2-16=0
We add all the numbers together, and all the variables
10x-14=0
We move all terms containing x to the left, all other terms to the right
10x=14
x=14/10
x=1+2/5

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