x(5x-6)=(5x+5)(x-2)

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Solution for x(5x-6)=(5x+5)(x-2) equation: 



x(5x-6)=(5x+5)(x-2)

We move all terms to the left:

x(5x-6)-((5x+5)(x-2))=0

We multiply parentheses

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

We multiply parentheses ..

5x^2-((+5x^2-10x+5x-10))-6x=0



We calculate terms in parentheses: -((+5x^2-10x+5x-10)), so:

(+5x^2-10x+5x-10)

We get rid of parentheses

5x^2-10x+5x-10

We add all the numbers together, and all the variables

5x^2-5x-10

Back to the equation:

-(5x^2-5x-10)



We add all the numbers together, and all the variables

5x^2-6x-(5x^2-5x-10)=0

We get rid of parentheses

5x^2-5x^2-6x+5x+10=0

We add all the numbers together, and all the variables

-1x+10=0

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

-x=-10

x=-10/-1

x=+10

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