(x+12)(x+8)=(x-18)(x+23)

Solution for (x+12)(x+8)=(x-18)(x+23) equation:

(x+12)(x+8)=(x-18)(x+23)

We move all terms to the left:

(x+12)(x+8)-((x-18)(x+23))=0

We multiply parentheses ..

(+x^2+8x+12x+96)-((x-18)(x+23))=0


We calculate terms in parentheses: -((x-18)(x+23)), so:

(x-18)(x+23)

We multiply parentheses ..

(+x^2+23x-18x-414)

We get rid of parentheses

x^2+23x-18x-414

We add all the numbers together, and all the variables

x^2+5x-414

Back to the equation:

-(x^2+5x-414)


We get rid of parentheses

x^2-x^2+8x+12x-5x+96+414=0

We add all the numbers together, and all the variables

15x+510=0

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

15x=-510

x=-510/15

x=-34