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4(x-2)+2x=3(x-4)-2
We move all terms to the left:
4(x-2)+2x-(3(x-4)-2)=0
We add all the numbers together, and all the variables
2x+4(x-2)-(3(x-4)-2)=0
We multiply parentheses
2x+4x-(3(x-4)-2)-8=0
We calculate terms in parentheses: -(3(x-4)-2), so:We add all the numbers together, and all the variables
3(x-4)-2
We multiply parentheses
3x-12-2
We add all the numbers together, and all the variables
3x-14
Back to the equation:
-(3x-14)
6x-(3x-14)-8=0
We get rid of parentheses
6x-3x+14-8=0
We add all the numbers together, and all the variables
3x+6=0
We move all terms containing x to the left, all other terms to the right
3x=-6
x=-6/3
x=-2
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