To solve the equation "Five less than three-fourths of \( x \) is seven," you can set it up as follows:
\[ \frac{3}{4}x - 5 = 7 \]
To isolate \( x \), you would first add 5 to both sides:
\[ \frac{3}{4}x = 12 \]
Next, you would multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\):
\[ x = 12 \times \frac{4}{3} = 16 \]
If we consider the last operation that was performed to isolate \( x \), it would be the multiplication of both sides by \(\frac{4}{3}\).
This means that the last property of equality used to justify the solution to this problem is the Multiplication Property of Equality.
However, since that option is not listed among your provided responses, the last property before that, which was adding 5 to both sides, would be the Addition Property of Equality.
So, the last property of equality you would use to justify the solution to this problem is:
Addition Property of Equality.
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