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3x+1/2=x+5/2
We move all terms to the left:
3x+1/2-(x+5/2)=0
We add all the numbers together, and all the variables
3x-(+x+5/2)+1/2=0
We get rid of parentheses
3x-x-5/2+1/2=0
We multiply all the terms by the denominator
3x*2-x*2-5+1=0
We add all the numbers together, and all the variables
3x*2-x*2-4=0
Wy multiply elements
6x-2x-4=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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