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.