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x(1-x)+2x-4=8x-24-x2
We move all terms to the left:
x(1-x)+2x-4-(8x-24-x2)=0
We add all the numbers together, and all the variables
-(+8x-1x^2-24)+x(-1x+1)+2x-4=0
We add all the numbers together, and all the variables
-(+8x-1x^2-24)+2x+x(-1x+1)-4=0
We multiply parentheses
-(+8x-1x^2-24)-1x^2+2x+x-4=0
We get rid of parentheses
1x^2-1x^2-8x+2x+x+24-4=0
We add all the numbers together, and all the variables
-5x+20=0
We move all terms containing x to the left, all other terms to the right
-5x=-20
x=-20/-5
x=+4
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