3*(2x+1)+12*(3x-2)=6*(3x-1)+3*(x-4)+11

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Solution for 3*(2x+1)+12*(3x-2)=6*(3x-1)+3*(x-4)+11 equation:



3(2x+1)+12(3x-2)=6(3x-1)+3(x-4)+11
We move all terms to the left:
3(2x+1)+12(3x-2)-(6(3x-1)+3(x-4)+11)=0
We multiply parentheses
6x+36x-(6(3x-1)+3(x-4)+11)+3-24=0
We calculate terms in parentheses: -(6(3x-1)+3(x-4)+11), so:
6(3x-1)+3(x-4)+11
We multiply parentheses
18x+3x-6-12+11
We add all the numbers together, and all the variables
21x-7
Back to the equation:
-(21x-7)
We add all the numbers together, and all the variables
42x-(21x-7)-21=0
We get rid of parentheses
42x-21x+7-21=0
We add all the numbers together, and all the variables
21x-14=0
We move all terms containing x to the left, all other terms to the right
21x=14
x=14/21
x=2/3

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