(x+8)(x+5)+2x=(x+6)(x+7)

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Solution for (x+8)(x+5)+2x=(x+6)(x+7) equation: 



(x+8)(x+5)+2x=(x+6)(x+7)

We move all terms to the left:

(x+8)(x+5)+2x-((x+6)(x+7))=0

We add all the numbers together, and all the variables

2x+(x+8)(x+5)-((x+6)(x+7))=0

We multiply parentheses ..

(+x^2+5x+8x+40)+2x-((x+6)(x+7))=0



We calculate terms in parentheses: -((x+6)(x+7)), so:

(x+6)(x+7)

We multiply parentheses ..

(+x^2+7x+6x+42)

We get rid of parentheses

x^2+7x+6x+42

We add all the numbers together, and all the variables

x^2+13x+42

Back to the equation:

-(x^2+13x+42)



We get rid of parentheses

x^2-x^2+5x+8x+2x-13x+40-42=0

We add all the numbers together, and all the variables

2x-2=0

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

2x=2

x=2/2

x=1

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