(x+12)*(x+5)=(x-8)*(x+7)-10

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Solution for (x+12)*(x+5)=(x-8)*(x+7)-10 equation: 



(x+12)(x+5)=(x-8)(x+7)-10

We move all terms to the left:

(x+12)(x+5)-((x-8)(x+7)-10)=0

We multiply parentheses ..

(+x^2+5x+12x+60)-((x-8)(x+7)-10)=0



We calculate terms in parentheses: -((x-8)(x+7)-10), so:

(x-8)(x+7)-10

We multiply parentheses ..

(+x^2+7x-8x-56)-10

We get rid of parentheses

x^2+7x-8x-56-10

We add all the numbers together, and all the variables

x^2-1x-66

Back to the equation:

-(x^2-1x-66)



We get rid of parentheses

x^2-x^2+5x+12x+1x+60+66=0

We add all the numbers together, and all the variables

18x+126=0

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

18x=-126

x=-126/18

x=-7

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