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2(-x+3)=7(3-x)
We move all terms to the left:
2(-x+3)-(7(3-x))=0
We add all the numbers together, and all the variables
2(-1x+3)-(7(-1x+3))=0
We multiply parentheses
-2x-(7(-1x+3))+6=0
We calculate terms in parentheses: -(7(-1x+3)), so:We get rid of parentheses
7(-1x+3)
We multiply parentheses
-7x+21
Back to the equation:
-(-7x+21)
-2x+7x-21+6=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3
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