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5(4x-9)=6(x+2)
We move all terms to the left:
5(4x-9)-(6(x+2))=0
We multiply parentheses
20x-(6(x+2))-45=0
We calculate terms in parentheses: -(6(x+2)), so:We get rid of parentheses
6(x+2)
We multiply parentheses
6x+12
Back to the equation:
-(6x+12)
20x-6x-12-45=0
We add all the numbers together, and all the variables
14x-57=0
We move all terms containing x to the left, all other terms to the right
14x=57
x=57/14
x=4+1/14
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