To solve the equation "Five less than three-fourths of x is seven," we first translate it into a mathematical equation:
\[ \frac{3}{4}x - 5 = 7 \]
Now, we isolate \( x \):
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Add 5 to both sides: \[ \frac{3}{4}x = 12 \]
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Multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\): \[ x = 12 \times \frac{4}{3} = 16 \]
Now, when substituting \( x = 16 \) into the equation, we could use both the Addition Property of Equality and the Multiplication Property of Equality depending on what stage we look at.
However, for the purpose of justifying the last operation used to isolate \( x \), we use the Multiplication Property of Equality when multiplying both sides by the reciprocal to arrive at the solution for \( x \).
Thus, the last property of equality you would use to justify the solution is:
Multiplication Property of Equality.