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(x-2)(x+3)-(x-5)(x+4)=-5-(x-1)
We move all terms to the left:
(x-2)(x+3)-(x-5)(x+4)-(-5-(x-1))=0
We multiply parentheses ..
(+x^2+3x-2x-6)-(x-5)(x+4)-(-5-(x-1))=0
We calculate terms in parentheses: -(-5-(x-1)), so:We get rid of parentheses
-5-(x-1)
determiningTheFunctionDomain -(x-1)-5
We get rid of parentheses
-x+1-5
We add all the numbers together, and all the variables
-1x-4
Back to the equation:
-(-1x-4)
x^2+3x-2x-(x-5)(x+4)+1x-6+4=0
We multiply parentheses ..
x^2-(+x^2+4x-5x-20)+3x-2x+1x-6+4=0
We add all the numbers together, and all the variables
x^2-(+x^2+4x-5x-20)+2x-2=0
We get rid of parentheses
x^2-x^2-4x+5x+2x+20-2=0
We add all the numbers together, and all the variables
3x+18=0
We move all terms containing x to the left, all other terms to the right
3x=-18
x=-18/3
x=-6
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