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0.3x+1.5=0.6x-0.3
We move all terms to the left:
0.3x+1.5-(0.6x-0.3)=0
We get rid of parentheses
0.3x-0.6x+0.3+1.5=0
We add all the numbers together, and all the variables
-0.3x+1.8=0
We move all terms containing x to the left, all other terms to the right
-0.3x=-1.8
x=-1.8/-0.3
x=6+2.2204460492503E-16/0.3
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