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x+6-2x=2(x-3)
We move all terms to the left:
x+6-2x-(2(x-3))=0
We add all the numbers together, and all the variables
-1x-(2(x-3))+6=0
We calculate terms in parentheses: -(2(x-3)), so:We get rid of parentheses
2(x-3)
We multiply parentheses
2x-6
Back to the equation:
-(2x-6)
-1x-2x+6+6=0
We add all the numbers together, and all the variables
-3x+12=0
We move all terms containing x to the left, all other terms to the right
-3x=-12
x=-12/-3
x=+4
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