5x(x-1)=5x^2-(8-3x)

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Solution for 5x(x-1)=5x^2-(8-3x) equation:



5x(x-1)=5x^2-(8-3x)
We move all terms to the left:
5x(x-1)-(5x^2-(8-3x))=0
We add all the numbers together, and all the variables
5x(x-1)-(5x^2-(-3x+8))=0
We multiply parentheses
5x^2-5x-(5x^2-(-3x+8))=0
We calculate terms in parentheses: -(5x^2-(-3x+8)), so:
5x^2-(-3x+8)
We get rid of parentheses
5x^2+3x-8
Back to the equation:
-(5x^2+3x-8)
We get rid of parentheses
5x^2-5x^2-5x-3x+8=0
We add all the numbers together, and all the variables
-8x+8=0
We move all terms containing x to the left, all other terms to the right
-8x=-8
x=-8/-8
x=1

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