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3(x-7)=5(3-x)
We move all terms to the left:
3(x-7)-(5(3-x))=0
We add all the numbers together, and all the variables
3(x-7)-(5(-1x+3))=0
We multiply parentheses
3x-(5(-1x+3))-21=0
We calculate terms in parentheses: -(5(-1x+3)), so:We get rid of parentheses
5(-1x+3)
We multiply parentheses
-5x+15
Back to the equation:
-(-5x+15)
3x+5x-15-21=0
We add all the numbers together, and all the variables
8x-36=0
We move all terms containing x to the left, all other terms to the right
8x=36
x=36/8
x=4+1/2
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