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x(5x-4)=(5x+8)(x-3)
We move all terms to the left:
x(5x-4)-((5x+8)(x-3))=0
We multiply parentheses
5x^2-4x-((5x+8)(x-3))=0
We multiply parentheses ..
5x^2-((+5x^2-15x+8x-24))-4x=0
We calculate terms in parentheses: -((+5x^2-15x+8x-24)), so:We add all the numbers together, and all the variables
(+5x^2-15x+8x-24)
We get rid of parentheses
5x^2-15x+8x-24
We add all the numbers together, and all the variables
5x^2-7x-24
Back to the equation:
-(5x^2-7x-24)
5x^2-4x-(5x^2-7x-24)=0
We get rid of parentheses
5x^2-5x^2-4x+7x+24=0
We add all the numbers together, and all the variables
3x+24=0
We move all terms containing x to the left, all other terms to the right
3x=-24
x=-24/3
x=-8
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