We need to create an equation for this.
Let x be the number we want to find.
Then
1/2x + 16 = 2/3x - 4
Multiplying both sides by the common denominator 6, we have
3x + 96 = 4x - 24
x = 120
Inserting 120 into the equation to check, we have
1/2 (120) + 16 = 2/3 (120) - 4
76 = 76