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-6(x-3)=5(4-x)
We move all terms to the left:
-6(x-3)-(5(4-x))=0
We add all the numbers together, and all the variables
-6(x-3)-(5(-1x+4))=0
We multiply parentheses
-6x-(5(-1x+4))+18=0
We calculate terms in parentheses: -(5(-1x+4)), so:We get rid of parentheses
5(-1x+4)
We multiply parentheses
-5x+20
Back to the equation:
-(-5x+20)
-6x+5x-20+18=0
We add all the numbers together, and all the variables
-1x-2=0
We move all terms containing x to the left, all other terms to the right
-x=2
x=2/-1
x=-2
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