To solve the equation "Five less than three-fourths of x is seven," we can set up the equation:
\[
\frac{3}{4}x - 5 = 7
\]
To isolate \(x\), we can use the following steps:
1. **Add 5 to both sides** to eliminate the subtraction:
\[
\frac{3}{4}x - 5 + 5 = 7 + 5
\]
This simplifies to:
\[
\frac{3}{4}x = 12
\]
(This step utilizes the **Addition Property of Equality**.)
2. **Multiply both sides by \(\frac{4}{3}\)** to solve for \(x\):
\[
\left(\frac{4}{3}\right)\frac{3}{4}x = \left(\frac{4}{3}\right)(12)
\]
This simplifies to:
\[
x = 16
\]
(This step utilizes the **Multiplication Property of Equality**.)
The final step that includes the transition from the simplified equation \(\frac{3}{4}x = 12\) to solving for \(x\) involves multiplying both sides by a fraction. The property used at this stage is primarily associated with multiplication but, since we are looking for the last property used in the entire process, it was the **Addition Property of Equality** used first to isolate the \(x\) term after addressing the constant.
In conclusion, the last property of equality would be:
**Addition Property of Equality**.