(X-6)(x-7)=(x-7)(x-8)

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Solution for (X-6)(x-7)=(x-7)(x-8) equation: 



(X-6)(X-7)=(X-7)(X-8)

We move all terms to the left:

(X-6)(X-7)-((X-7)(X-8))=0

We multiply parentheses ..

(+X^2-7X-6X+42)-((X-7)(X-8))=0



We calculate terms in parentheses: -((X-7)(X-8)), so:

(X-7)(X-8)

We multiply parentheses ..

(+X^2-8X-7X+56)

We get rid of parentheses

X^2-8X-7X+56

We add all the numbers together, and all the variables

X^2-15X+56

Back to the equation:

-(X^2-15X+56)



We get rid of parentheses

X^2-X^2-7X-6X+15X+42-56=0

We add all the numbers together, and all the variables

2X-14=0

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

2X=14

X=14/2

X=7

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