2(3x-3)=3(4-x)

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Solution for 2(3x-3)=3(4-x) equation:



2(3x-3)=3(4-x)
We move all terms to the left:
2(3x-3)-(3(4-x))=0
We add all the numbers together, and all the variables
2(3x-3)-(3(-1x+4))=0
We multiply parentheses
6x-(3(-1x+4))-6=0
We calculate terms in parentheses: -(3(-1x+4)), so:
3(-1x+4)
We multiply parentheses
-3x+12
Back to the equation:
-(-3x+12)
We get rid of parentheses
6x+3x-12-6=0
We add all the numbers together, and all the variables
9x-18=0
We move all terms containing x to the left, all other terms to the right
9x=18
x=18/9
x=2

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