(x+2)(x+3)=(x+2)(x-4)+20

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Solution for (x+2)(x+3)=(x+2)(x-4)+20 equation:



(x+2)(x+3)=(x+2)(x-4)+20
We move all terms to the left:
(x+2)(x+3)-((x+2)(x-4)+20)=0
We multiply parentheses ..
(+x^2+3x+2x+6)-((x+2)(x-4)+20)=0
We calculate terms in parentheses: -((x+2)(x-4)+20), so:
(x+2)(x-4)+20
We multiply parentheses ..
(+x^2-4x+2x-8)+20
We get rid of parentheses
x^2-4x+2x-8+20
We add all the numbers together, and all the variables
x^2-2x+12
Back to the equation:
-(x^2-2x+12)
We get rid of parentheses
x^2-x^2+3x+2x+2x+6-12=0
We add all the numbers together, and all the variables
7x-6=0
We move all terms containing x to the left, all other terms to the right
7x=6
x=6/7
x=6/7

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