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 Addition Property of Equality Addition Property of Equality Division Property of Equality Division Property of Equality Subtraction Property of Equality

To solve the equation "Five less than three-fourths of x is seven," we can express it mathematically as:

\(\frac{3}{4}x - 5 = 7\)

To isolate \(x\), we first need to add 5 to both sides of the equation:

\(\frac{3}{4}x - 5 + 5 = 7 + 5\)

This simplifies to:

\(\frac{3}{4}x = 12\)

Next, we need to eliminate the fraction by multiplying both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\):

\(\frac{4}{3} \cdot \frac{3}{4}x = 12 \cdot \frac{4}{3}\)

This simplifies to:

\(x = 16\)

The last property of equality that is used to justify solving the equation after adding 5 to both sides is:

**Addition Property of Equality**

So, the answer is: **Addition Property of Equality**.