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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+9=0
Wy multiply elements
4x-6x+9=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
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