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12(3x+2)=9(x-3)
We move all terms to the left:
12(3x+2)-(9(x-3))=0
We multiply parentheses
36x-(9(x-3))+24=0
We calculate terms in parentheses: -(9(x-3)), so:We get rid of parentheses
9(x-3)
We multiply parentheses
9x-27
Back to the equation:
-(9x-27)
36x-9x+27+24=0
We add all the numbers together, and all the variables
27x+51=0
We move all terms containing x to the left, all other terms to the right
27x=-51
x=-51/27
x=-1+8/9
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