x(x-3)+8=x(x+5)

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Solution for x(x-3)+8=x(x+5) equation: 



x(x-3)+8=x(x+5)

We move all terms to the left:

x(x-3)+8-(x(x+5))=0

We multiply parentheses

x^2-3x-(x(x+5))+8=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^2-3x-5x+8=0

We add all the numbers together, and all the variables

-8x+8=0

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

-8x=-8

x=-8/-8

x=1

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