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6(x-4)=2(4-x)
We move all terms to the left:
6(x-4)-(2(4-x))=0
We add all the numbers together, and all the variables
6(x-4)-(2(-1x+4))=0
We multiply parentheses
6x-(2(-1x+4))-24=0
We calculate terms in parentheses: -(2(-1x+4)), so:We get rid of parentheses
2(-1x+4)
We multiply parentheses
-2x+8
Back to the equation:
-(-2x+8)
6x+2x-8-24=0
We add all the numbers together, and all the variables
8x-32=0
We move all terms containing x to the left, all other terms to the right
8x=32
x=32/8
x=4
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