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3(x-4)=6(4-x)
We move all terms to the left:
3(x-4)-(6(4-x))=0
We add all the numbers together, and all the variables
3(x-4)-(6(-1x+4))=0
We multiply parentheses
3x-(6(-1x+4))-12=0
We calculate terms in parentheses: -(6(-1x+4)), so:We get rid of parentheses
6(-1x+4)
We multiply parentheses
-6x+24
Back to the equation:
-(-6x+24)
3x+6x-24-12=0
We add all the numbers together, and all the variables
9x-36=0
We move all terms containing x to the left, all other terms to the right
9x=36
x=36/9
x=4
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