X(x-8)+13=x(x+5)

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Solution for X(x-8)+13=x(x+5) equation: 



X(X-8)+13=X(X+5)

We move all terms to the left:

X(X-8)+13-(X(X+5))=0

We multiply parentheses

X^2-8X-(X(X+5))+13=0



We calculate terms in parentheses: -(X(X+5)), so:

X(X+5)

We multiply parentheses

X^2+5X

Back to the equation:

-(X^2+5X)



We get rid of parentheses

X^2-X^2-8X-5X+13=0

We add all the numbers together, and all the variables

-13X+13=0

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

-13X=-13

X=-13/-13

X=1

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