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3(8x-3)=-6x+9
We move all terms to the left:
3(8x-3)-(-6x+9)=0
We multiply parentheses
24x-(-6x+9)-9=0
We get rid of parentheses
24x+6x-9-9=0
We add all the numbers together, and all the variables
30x-18=0
We move all terms containing x to the left, all other terms to the right
30x=18
x=18/30
x=3/5
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