Five less than three-fourths of x is seven. If x equals 16, what is the last property of equality you would use to justify the solution to this problem?(1 point) Responses Identity Property of Multiplication Identity Property of Multiplication Subtraction Property of Equality Subtraction Property of Equality Addition Property of Equality Addition Property of Equality Division Property of Equality

To solve the equation "Five less than three-fourths of x is seven," we first translate it into a mathematical equation:

\[
\frac{3}{4}x - 5 = 7
\]

Now, we isolate \( x \):

1. Add 5 to both sides:
\[
\frac{3}{4}x = 12
\]

2. Multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\):
\[
x = 12 \times \frac{4}{3} = 16
\]

Now, when substituting \( x = 16 \) into the equation, we could use both the Addition Property of Equality and the Multiplication Property of Equality depending on what stage we look at.

However, for the purpose of justifying the last operation used to isolate \( x \), we use the **Multiplication Property of Equality** when multiplying both sides by the reciprocal to arrive at the solution for \( x \).

Thus, the last property of equality you would use to justify the solution is:

**Multiplication Property of Equality**.