To solve the equation given in the problem, we would start by translating "Five less than three-fourths of x is seven" into an equation. This translates to:
\[ \frac{3}{4}x - 5 = 7 \]
To isolate \( \frac{3}{4}x \), we would first add 5 to both sides:
\[ \frac{3}{4}x = 7 + 5 \] \[ \frac{3}{4}x = 12 \]
Next, to solve for \( x \), we would multiply both sides by \( \frac{4}{3} \) to get:
\[ x = 12 \times \frac{4}{3} \]
Calculating this gives:
\[ x = 16 \]
The last property of equality used in this series of steps would be the Multiplication Property of Equality, since at the final step, we multiplied both sides of the equation by \( \frac{4}{3} \) to isolate \( x \).
So, the correct response is:
Identity Property of Multiplication