(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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