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4x-1=3x+1/2
We move all terms to the left:
4x-1-(3x+1/2)=0
We add all the numbers together, and all the variables
4x-(+3x+1/2)-1=0
We get rid of parentheses
4x-3x-1-1/2=0
We multiply all the terms by the denominator
4x*2-3x*2-1-1*2=0
We add all the numbers together, and all the variables
4x*2-3x*2-3=0
Wy multiply elements
8x-6x-3=0
We add all the numbers together, and all the variables
2x-3=0
We move all terms containing x to the left, all other terms to the right
2x=3
x=3/2
x=1+1/2
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