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x-2(x-1)=11-3(x-2)
We move all terms to the left:
x-2(x-1)-(11-3(x-2))=0
We multiply parentheses
x-2x-(11-3(x-2))+2=0
We calculate terms in parentheses: -(11-3(x-2)), so:We add all the numbers together, and all the variables
11-3(x-2)
determiningTheFunctionDomain -3(x-2)+11
We multiply parentheses
-3x+6+11
We add all the numbers together, and all the variables
-3x+17
Back to the equation:
-(-3x+17)
-1x-(-3x+17)+2=0
We get rid of parentheses
-1x+3x-17+2=0
We add all the numbers together, and all the variables
2x-15=0
We move all terms containing x to the left, all other terms to the right
2x=15
x=15/2
x=7+1/2
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