To solve for x in the equation 2 1/2 + x = 3 1/2, we can start by subtracting the mixed number on the left side from both sides of the equation. This gives us:
x = 3 1/2 - 2 1/2
Next, we can simplify each mixed number to an improper fraction and subtract them as follows:
x = (7/2) - (5/2)
x = (7-5)/2
x=1
Therefore, x equals one.