(x+1)(x+2)-3=(x-3)(x+5)

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Solution for (x+1)(x+2)-3=(x-3)(x+5) equation:



(x+1)(x+2)-3=(x-3)(x+5)
We move all terms to the left:
(x+1)(x+2)-3-((x-3)(x+5))=0
We multiply parentheses ..
(+x^2+2x+x+2)-((x-3)(x+5))-3=0
We calculate terms in parentheses: -((x-3)(x+5)), so:
(x-3)(x+5)
We multiply parentheses ..
(+x^2+5x-3x-15)
We get rid of parentheses
x^2+5x-3x-15
We add all the numbers together, and all the variables
x^2+2x-15
Back to the equation:
-(x^2+2x-15)
We get rid of parentheses
x^2-x^2+2x+x-2x+2+15-3=0
We add all the numbers together, and all the variables
x+14=0
We move all terms containing x to the left, all other terms to the right
x=-14

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