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(5x+6)(x+12)=(5x-6)(x+3)
We move all terms to the left:
(5x+6)(x+12)-((5x-6)(x+3))=0
We multiply parentheses ..
(+5x^2+60x+6x+72)-((5x-6)(x+3))=0
We calculate terms in parentheses: -((5x-6)(x+3)), so:We get rid of parentheses
(5x-6)(x+3)
We multiply parentheses ..
(+5x^2+15x-6x-18)
We get rid of parentheses
5x^2+15x-6x-18
We add all the numbers together, and all the variables
5x^2+9x-18
Back to the equation:
-(5x^2+9x-18)
5x^2-5x^2+60x+6x-9x+72+18=0
We add all the numbers together, and all the variables
57x+90=0
We move all terms containing x to the left, all other terms to the right
57x=-90
x=-90/57
x=-1+11/19
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