(x+7)(x-2)=(x+8)(x+4)

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Solution for (x+7)(x-2)=(x+8)(x+4) equation: 



(x+7)(x-2)=(x+8)(x+4)

We move all terms to the left:

(x+7)(x-2)-((x+8)(x+4))=0

We multiply parentheses ..

(+x^2-2x+7x-14)-((x+8)(x+4))=0



We calculate terms in parentheses: -((x+8)(x+4)), so:

(x+8)(x+4)

We multiply parentheses ..

(+x^2+4x+8x+32)

We get rid of parentheses

x^2+4x+8x+32

We add all the numbers together, and all the variables

x^2+12x+32

Back to the equation:

-(x^2+12x+32)



We get rid of parentheses

x^2-x^2-2x+7x-12x-14-32=0

We add all the numbers together, and all the variables

-7x-46=0

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

-7x=46

x=46/-7

x=-6+4/7

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