Brice had twice as many stamps in his collection as his friends Anthony and paul combined. Paul has 32 stamps in his collection. Brice has 96 stamps in his collection. how many stamps does Anthony have in his collection? the equation 2(x+32) = 96 models this situation. which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?

Answer 1

To solve the equation \( 2(x + 32) = 96 \) for Anthony's stamps, we can follow a sequence of operations. Here's how it breaks down:

1. Distribute the 2: \[ 2(x + 32) = 96 \implies 2x + 64 = 96 \]

2. Subtract 64 from both sides: \[ 2x + 64 - 64 = 96 - 64 \implies 2x = 32 \]

3. Divide both sides by 2: \[ \frac{2x}{2} = \frac{32}{2} \implies x = 16 \]

Thus, Anthony has 16 stamps in his collection.

In summary, the sequence of operations is:

1. Distribute the \(2\).
2. Subtract \(64\) from both sides.
3. Divide both sides by \(2\).