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6(x-8)-3x=5(x-2)-2
We move all terms to the left:
6(x-8)-3x-(5(x-2)-2)=0
We add all the numbers together, and all the variables
-3x+6(x-8)-(5(x-2)-2)=0
We multiply parentheses
-3x+6x-(5(x-2)-2)-48=0
We calculate terms in parentheses: -(5(x-2)-2), so:We add all the numbers together, and all the variables
5(x-2)-2
We multiply parentheses
5x-10-2
We add all the numbers together, and all the variables
5x-12
Back to the equation:
-(5x-12)
3x-(5x-12)-48=0
We get rid of parentheses
3x-5x+12-48=0
We add all the numbers together, and all the variables
-2x-36=0
We move all terms containing x to the left, all other terms to the right
-2x=36
x=36/-2
x=-18
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