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2(x-4)-47=9-6x
We move all terms to the left:
2(x-4)-47-(9-6x)=0
We add all the numbers together, and all the variables
2(x-4)-(-6x+9)-47=0
We multiply parentheses
2x-(-6x+9)-8-47=0
We get rid of parentheses
2x+6x-9-8-47=0
We add all the numbers together, and all the variables
8x-64=0
We move all terms containing x to the left, all other terms to the right
8x=64
x=64/8
x=8
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