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-6(2x+8)=12(x-3)
We move all terms to the left:
-6(2x+8)-(12(x-3))=0
We multiply parentheses
-12x-(12(x-3))-48=0
We calculate terms in parentheses: -(12(x-3)), so:We get rid of parentheses
12(x-3)
We multiply parentheses
12x-36
Back to the equation:
-(12x-36)
-12x-12x+36-48=0
We add all the numbers together, and all the variables
-24x-12=0
We move all terms containing x to the left, all other terms to the right
-24x=12
x=12/-24
x=-1/2
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