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2x+6(3-x)=5(x-2)-2
We move all terms to the left:
2x+6(3-x)-(5(x-2)-2)=0
We add all the numbers together, and all the variables
2x+6(-1x+3)-(5(x-2)-2)=0
We multiply parentheses
2x-6x-(5(x-2)-2)+18=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)
-4x-(5x-12)+18=0
We get rid of parentheses
-4x-5x+12+18=0
We add all the numbers together, and all the variables
-9x+30=0
We move all terms containing x to the left, all other terms to the right
-9x=-30
x=-30/-9
x=3+1/3
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