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5-6x=3x+6
We move all terms to the left:
5-6x-(3x+6)=0
We get rid of parentheses
-6x-3x-6+5=0
We add all the numbers together, and all the variables
-9x-1=0
We move all terms containing x to the left, all other terms to the right
-9x=1
x=1/-9
x=-1/9
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