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((2x+3)/12)-((x-6)/8)-1=0
We calculate fractions
(16x+24)/()+(-12x+72)/()-1=0
We multiply all the terms by the denominator
(16x+24)+(-12x+72)-1*()=0
We add all the numbers together, and all the variables
(16x+24)+(-12x+72)=0
We get rid of parentheses
16x-12x+24+72=0
We add all the numbers together, and all the variables
4x+96=0
We move all terms containing x to the left, all other terms to the right
4x=-96
x=-96/4
x=-24
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