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2x+1=9-3x
We move all terms to the left:
2x+1-(9-3x)=0
We add all the numbers together, and all the variables
2x-(-3x+9)+1=0
We get rid of parentheses
2x+3x-9+1=0
We add all the numbers together, and all the variables
5x-8=0
We move all terms containing x to the left, all other terms to the right
5x=8
x=8/5
x=1+3/5
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