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2x(x+5)=-x(10-2x)+100
We move all terms to the left:
2x(x+5)-(-x(10-2x)+100)=0
We add all the numbers together, and all the variables
2x(x+5)-(-x(-2x+10)+100)=0
We multiply parentheses
2x^2+10x-(-x(-2x+10)+100)=0
We calculate terms in parentheses: -(-x(-2x+10)+100), so:We get rid of parentheses
-x(-2x+10)+100
We multiply parentheses
2x^2-10x+100
Back to the equation:
-(2x^2-10x+100)
2x^2-2x^2+10x+10x-100=0
We add all the numbers together, and all the variables
20x-100=0
We move all terms containing x to the left, all other terms to the right
20x=100
x=100/20
x=5
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