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2(x-1)+3(x-2)+4(x-3)=3(x-1)
We move all terms to the left:
2(x-1)+3(x-2)+4(x-3)-(3(x-1))=0
We multiply parentheses
2x+3x+4x-(3(x-1))-2-6-12=0
We calculate terms in parentheses: -(3(x-1)), so:We add all the numbers together, and all the variables
3(x-1)
We multiply parentheses
3x-3
Back to the equation:
-(3x-3)
9x-(3x-3)-20=0
We get rid of parentheses
9x-3x+3-20=0
We add all the numbers together, and all the variables
6x-17=0
We move all terms containing x to the left, all other terms to the right
6x=17
x=17/6
x=2+5/6
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