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6-4(x-2)+8x=2(x+6)
We move all terms to the left:
6-4(x-2)+8x-(2(x+6))=0
We add all the numbers together, and all the variables
8x-4(x-2)-(2(x+6))+6=0
We multiply parentheses
8x-4x-(2(x+6))+8+6=0
We calculate terms in parentheses: -(2(x+6)), so:We add all the numbers together, and all the variables
2(x+6)
We multiply parentheses
2x+12
Back to the equation:
-(2x+12)
4x-(2x+12)+14=0
We get rid of parentheses
4x-2x-12+14=0
We add all the numbers together, and all the variables
2x+2=0
We move all terms containing x to the left, all other terms to the right
2x=-2
x=-2/2
x=-1
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