x(x-5)+12=x(x+7)

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Solution for x(x-5)+12=x(x+7) equation: 



x(x-5)+12=x(x+7)

We move all terms to the left:

x(x-5)+12-(x(x+7))=0

We multiply parentheses

x^2-5x-(x(x+7))+12=0



We calculate terms in parentheses: -(x(x+7)), so:

x(x+7)

We multiply parentheses

x^2+7x

Back to the equation:

-(x^2+7x)



We get rid of parentheses

x^2-x^2-5x-7x+12=0

We add all the numbers together, and all the variables

-12x+12=0

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

-12x=-12

x=-12/-12

x=1

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