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

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Solution for 5(x-2)-3(-x+2)=-(x-1)+1 equation:



5(x-2)-3(-x+2)=-(x-1)+1
We move all terms to the left:
5(x-2)-3(-x+2)-(-(x-1)+1)=0
We add all the numbers together, and all the variables
5(x-2)-3(-1x+2)-(-(x-1)+1)=0
We multiply parentheses
5x+3x-(-(x-1)+1)-10-6=0
We calculate terms in parentheses: -(-(x-1)+1), so:
-(x-1)+1
We get rid of parentheses
-x+1+1
We add all the numbers together, and all the variables
-1x+2
Back to the equation:
-(-1x+2)
We add all the numbers together, and all the variables
8x-(-1x+2)-16=0
We get rid of parentheses
8x+1x-2-16=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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