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(2x+5)(x+3)-(2x+5)(x+7)=0
We multiply parentheses ..
(+2x^2+6x+5x+15)-(2x+5)(x+7)=0
We get rid of parentheses
2x^2+6x+5x-(2x+5)(x+7)+15=0
We multiply parentheses ..
2x^2-(+2x^2+14x+5x+35)+6x+5x+15=0
We add all the numbers together, and all the variables
2x^2-(+2x^2+14x+5x+35)+11x+15=0
We get rid of parentheses
2x^2-2x^2-14x-5x+11x-35+15=0
We add all the numbers together, and all the variables
-8x-20=0
We move all terms containing x to the left, all other terms to the right
-8x=20
x=20/-8
x=-2+1/2
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