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3(2x+3)=17-18x
We move all terms to the left:
3(2x+3)-(17-18x)=0
We add all the numbers together, and all the variables
3(2x+3)-(-18x+17)=0
We multiply parentheses
6x-(-18x+17)+9=0
We get rid of parentheses
6x+18x-17+9=0
We add all the numbers together, and all the variables
24x-8=0
We move all terms containing x to the left, all other terms to the right
24x=8
x=8/24
x=1/3
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