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3x=5x+1/2
We move all terms to the left:
3x-(5x+1/2)=0
We add all the numbers together, and all the variables
3x-(+5x+1/2)=0
We get rid of parentheses
3x-5x-1/2=0
We multiply all the terms by the denominator
3x*2-5x*2-1=0
Wy multiply elements
6x-10x-1=0
We add all the numbers together, and all the variables
-4x-1=0
We move all terms containing x to the left, all other terms to the right
-4x=1
x=1/-4
x=-1/4
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