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1/2-4x=6x+41/2
We move all terms to the left:
1/2-4x-(6x+41/2)=0
We add all the numbers together, and all the variables
-4x-(+6x+41/2)+1/2=0
We get rid of parentheses
-4x-6x-41/2+1/2=0
We multiply all the terms by the denominator
-4x*2-6x*2-41+1=0
We add all the numbers together, and all the variables
-4x*2-6x*2-40=0
Wy multiply elements
-8x-12x-40=0
We add all the numbers together, and all the variables
-20x-40=0
We move all terms containing x to the left, all other terms to the right
-20x=40
x=40/-20
x=-2
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