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12(2x+3)=17(x+5)
We move all terms to the left:
12(2x+3)-(17(x+5))=0
We multiply parentheses
24x-(17(x+5))+36=0
We calculate terms in parentheses: -(17(x+5)), so:We get rid of parentheses
17(x+5)
We multiply parentheses
17x+85
Back to the equation:
-(17x+85)
24x-17x-85+36=0
We add all the numbers together, and all the variables
7x-49=0
We move all terms containing x to the left, all other terms to the right
7x=49
x=49/7
x=7
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