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2(x-1)+3(x-2)=-4(x-3)
We move all terms to the left:
2(x-1)+3(x-2)-(-4(x-3))=0
We multiply parentheses
2x+3x-(-4(x-3))-2-6=0
We calculate terms in parentheses: -(-4(x-3)), so:We add all the numbers together, and all the variables
-4(x-3)
We multiply parentheses
-4x+12
Back to the equation:
-(-4x+12)
5x-(-4x+12)-8=0
We get rid of parentheses
5x+4x-12-8=0
We add all the numbers together, and all the variables
9x-20=0
We move all terms containing x to the left, all other terms to the right
9x=20
x=20/9
x=2+2/9
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