1-2(x-3)+(-x+2)=2x-3(x-1)

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Solution for 1-2(x-3)+(-x+2)=2x-3(x-1) equation:



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

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