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5(x-2)=-3(3-x)
We move all terms to the left:
5(x-2)-(-3(3-x))=0
We add all the numbers together, and all the variables
5(x-2)-(-3(-1x+3))=0
We multiply parentheses
5x-(-3(-1x+3))-10=0
We calculate terms in parentheses: -(-3(-1x+3)), so:We get rid of parentheses
-3(-1x+3)
We multiply parentheses
3x-9
Back to the equation:
-(3x-9)
5x-3x+9-10=0
We add all the numbers together, and all the variables
2x-1=0
We move all terms containing x to the left, all other terms to the right
2x=1
x=1/2
x=1/2
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