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2x+4=3x+1/2
We move all terms to the left:
2x+4-(3x+1/2)=0
We add all the numbers together, and all the variables
2x-(+3x+1/2)+4=0
We get rid of parentheses
2x-3x+4-1/2=0
We multiply all the terms by the denominator
2x*2-3x*2-1+4*2=0
We add all the numbers together, and all the variables
2x*2-3x*2+7=0
Wy multiply elements
4x-6x+7=0
We add all the numbers together, and all the variables
-2x+7=0
We move all terms containing x to the left, all other terms to the right
-2x=-7
x=-7/-2
x=3+1/2
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