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

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



(3x-1)2-(2x+3)2=5(x-2)+(x-1)+(5x+2)
We move all terms to the left:
(3x-1)2-(2x+3)2-(5(x-2)+(x-1)+(5x+2))=0
We multiply parentheses
6x-4x-(5(x-2)+(x-1)+(5x+2))-2-6=0
We calculate terms in parentheses: -(5(x-2)+(x-1)+(5x+2)), so:
5(x-2)+(x-1)+(5x+2)
We multiply parentheses
5x+(x-1)+(5x+2)-10
We get rid of parentheses
5x+x+5x-1+2-10
We add all the numbers together, and all the variables
11x-9
Back to the equation:
-(11x-9)
We add all the numbers together, and all the variables
2x-(11x-9)-8=0
We get rid of parentheses
2x-11x+9-8=0
We add all the numbers together, and all the variables
-9x+1=0
We move all terms containing x to the left, all other terms to the right
-9x=-1
x=-1/-9
x=1/9

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