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5x+18=6x+9
We move all terms to the left:
5x+18-(6x+9)=0
We get rid of parentheses
5x-6x-9+18=0
We add all the numbers together, and all the variables
-1x+9=0
We move all terms containing x to the left, all other terms to the right
-x=-9
x=-9/-1
x=+9
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