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12(x+2)=8(13-x)
We move all terms to the left:
12(x+2)-(8(13-x))=0
We add all the numbers together, and all the variables
12(x+2)-(8(-1x+13))=0
We multiply parentheses
12x-(8(-1x+13))+24=0
We calculate terms in parentheses: -(8(-1x+13)), so:We get rid of parentheses
8(-1x+13)
We multiply parentheses
-8x+104
Back to the equation:
-(-8x+104)
12x+8x-104+24=0
We add all the numbers together, and all the variables
20x-80=0
We move all terms containing x to the left, all other terms to the right
20x=80
x=80/20
x=4
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