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3(x+3)=5(x-7)
We move all terms to the left:
3(x+3)-(5(x-7))=0
We multiply parentheses
3x-(5(x-7))+9=0
We calculate terms in parentheses: -(5(x-7)), so:We get rid of parentheses
5(x-7)
We multiply parentheses
5x-35
Back to the equation:
-(5x-35)
3x-5x+35+9=0
We add all the numbers together, and all the variables
-2x+44=0
We move all terms containing x to the left, all other terms to the right
-2x=-44
x=-44/-2
x=+22
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