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2(3x+6)=5x-3
We move all terms to the left:
2(3x+6)-(5x-3)=0
We multiply parentheses
6x-(5x-3)+12=0
We get rid of parentheses
6x-5x+3+12=0
We add all the numbers together, and all the variables
x+15=0
We move all terms containing x to the left, all other terms to the right
x=-15
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