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7(x-2)=5(x+6)
We move all terms to the left:
7(x-2)-(5(x+6))=0
We multiply parentheses
7x-(5(x+6))-14=0
We calculate terms in parentheses: -(5(x+6)), so:We get rid of parentheses
5(x+6)
We multiply parentheses
5x+30
Back to the equation:
-(5x+30)
7x-5x-30-14=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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