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6x-2(3-2x)=3(x-4)-22
We move all terms to the left:
6x-2(3-2x)-(3(x-4)-22)=0
We add all the numbers together, and all the variables
6x-2(-2x+3)-(3(x-4)-22)=0
We multiply parentheses
6x+4x-(3(x-4)-22)-6=0
We calculate terms in parentheses: -(3(x-4)-22), so:We add all the numbers together, and all the variables
3(x-4)-22
We multiply parentheses
3x-12-22
We add all the numbers together, and all the variables
3x-34
Back to the equation:
-(3x-34)
10x-(3x-34)-6=0
We get rid of parentheses
10x-3x+34-6=0
We add all the numbers together, and all the variables
7x+28=0
We move all terms containing x to the left, all other terms to the right
7x=-28
x=-28/7
x=-4
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