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4x-1/2=2x+9/2
We move all terms to the left:
4x-1/2-(2x+9/2)=0
We add all the numbers together, and all the variables
4x-(+2x+9/2)-1/2=0
We get rid of parentheses
4x-2x-9/2-1/2=0
We multiply all the terms by the denominator
4x*2-2x*2-9-1=0
We add all the numbers together, and all the variables
4x*2-2x*2-10=0
Wy multiply elements
8x-4x-10=0
We add all the numbers together, and all the variables
4x-10=0
We move all terms containing x to the left, all other terms to the right
4x=10
x=10/4
x=2+1/2
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