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

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



2(x-2)-3(2x+1)=3(-2x+3)-(x-2)+3
We move all terms to the left:
2(x-2)-3(2x+1)-(3(-2x+3)-(x-2)+3)=0
We multiply parentheses
2x-6x-(3(-2x+3)-(x-2)+3)-4-3=0
We calculate terms in parentheses: -(3(-2x+3)-(x-2)+3), so:
3(-2x+3)-(x-2)+3
We multiply parentheses
-6x-(x-2)+9+3
We get rid of parentheses
-6x-x+2+9+3
We add all the numbers together, and all the variables
-7x+14
Back to the equation:
-(-7x+14)
We add all the numbers together, and all the variables
-4x-(-7x+14)-7=0
We get rid of parentheses
-4x+7x-14-7=0
We add all the numbers together, and all the variables
3x-21=0
We move all terms containing x to the left, all other terms to the right
3x=21
x=21/3
x=7

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