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6(x-3)=4(3-x)
We move all terms to the left:
6(x-3)-(4(3-x))=0
We add all the numbers together, and all the variables
6(x-3)-(4(-1x+3))=0
We multiply parentheses
6x-(4(-1x+3))-18=0
We calculate terms in parentheses: -(4(-1x+3)), so:We get rid of parentheses
4(-1x+3)
We multiply parentheses
-4x+12
Back to the equation:
-(-4x+12)
6x+4x-12-18=0
We add all the numbers together, and all the variables
10x-30=0
We move all terms containing x to the left, all other terms to the right
10x=30
x=30/10
x=3
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