2(x+1)(x+3)+8=(2x+1)(x+5)

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Solution for 2(x+1)(x+3)+8=(2x+1)(x+5) equation:



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

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