The given question is:
w+1/2=1/4w+2
The simple step that can be performed here is, take the w values on one side and constants/numeric values on another side:
so,
w = 1/4w + 2 - (1/2). (taking 1/2 on the right side)
w - 1/4w = 2 - 1/2. (taking 1/4w on the left side)
w (1 - 1/4). = 3/2
3/4w = 3/2
now, by multiplying 4/3 on both sides, we get
4/3 * 3/4w + 3/2 * 4/3
w = 4/2
w = 2
So, your answer is 2.