x(6x-3)=(6x+5)(x-8)

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Solution for x(6x-3)=(6x+5)(x-8) equation: 



x(6x-3)=(6x+5)(x-8)

We move all terms to the left:

x(6x-3)-((6x+5)(x-8))=0

We multiply parentheses

6x^2-3x-((6x+5)(x-8))=0

We multiply parentheses ..

6x^2-((+6x^2-48x+5x-40))-3x=0



We calculate terms in parentheses: -((+6x^2-48x+5x-40)), so:

(+6x^2-48x+5x-40)

We get rid of parentheses

6x^2-48x+5x-40

We add all the numbers together, and all the variables

6x^2-43x-40

Back to the equation:

-(6x^2-43x-40)



We add all the numbers together, and all the variables

6x^2-3x-(6x^2-43x-40)=0

We get rid of parentheses

6x^2-6x^2-3x+43x+40=0

We add all the numbers together, and all the variables

40x+40=0

We move all terms containing x to the left, all other terms to the right

40x=-40

x=-40/40

x=-1

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