(x-6)x=(x-10)(x-6)

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Solution for (x-6)x=(x-10)(x-6) equation: 



(x-6)x=(x-10)(x-6)

We move all terms to the left:

(x-6)x-((x-10)(x-6))=0

We multiply parentheses

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

We multiply parentheses ..

x^2-((+x^2-6x-10x+60))-6x=0



We calculate terms in parentheses: -((+x^2-6x-10x+60)), so:

(+x^2-6x-10x+60)

We get rid of parentheses

x^2-6x-10x+60

We add all the numbers together, and all the variables

x^2-16x+60

Back to the equation:

-(x^2-16x+60)



We add all the numbers together, and all the variables

x^2-6x-(x^2-16x+60)=0

We get rid of parentheses

x^2-x^2-6x+16x-60=0

We add all the numbers together, and all the variables

10x-60=0

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

10x=60

x=60/10

x=6

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