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2(3x-6)=5(4x+6)
We move all terms to the left:
2(3x-6)-(5(4x+6))=0
We multiply parentheses
6x-(5(4x+6))-12=0
We calculate terms in parentheses: -(5(4x+6)), so:We get rid of parentheses
5(4x+6)
We multiply parentheses
20x+30
Back to the equation:
-(20x+30)
6x-20x-30-12=0
We add all the numbers together, and all the variables
-14x-42=0
We move all terms containing x to the left, all other terms to the right
-14x=42
x=42/-14
x=-3
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