Yes, the word problem fits the equation. The equation 3x + 2 = 20 represents the total weight of the box and books, where 3x represents the total weight of the books (with x books each weighing 2 pounds) and 2 represents the weight of the box itself. By substituting the values in the word problem into the equation, we can see that it is consistent. 3x + 2 = 20 becomes 3(2) + 2 = 20, which simplifies to 6 + 2 = 20, and ultimately 8 = 20, showing that this is not a valid solution. Therefore, the word problem does not fit the equation.
