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2x-3+4x=2x+1
We move all terms to the left:
2x-3+4x-(2x+1)=0
We add all the numbers together, and all the variables
6x-(2x+1)-3=0
We get rid of parentheses
6x-2x-1-3=0
We add all the numbers together, and all the variables
4x-4=0
We move all terms containing x to the left, all other terms to the right
4x=4
x=4/4
x=1
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