(x Consider the sequence of steps to solve the equation: $$ 3(x-4)+5 x=9 x-36 $$ Given $$ \Rightarrow 3(x-4)+5 x=9 x-36 $$ Step $$ 1 \Rightarrow 3 x-12+5 x=9 x-36 $$ Step $$ 2 \Rightarrow 3 x+5 x-12=9 x-36 $$ Step $$ 3 \Rightarrow 8 x-12=9 x-36 $$ Step $$ 4 \Rightarrow 8 x-8 x-12=9 x-8 x-36 $$ Step $$ 5 \Rightarrow 0-12=x-36 $$ Step $$ 6 \Rightarrow-12=x-36 $$ Step $$ 7 \Rightarrow-12+36=x-36+36 $$ Step $$ 8 \Rightarrow 24=x+0 $$ Step $$ 9 \Rightarrow 24=x $$ Which property yields Step 4 ? A Subtraction Property of Equality A $$ \quad $$ B Commutative Property of Addition Ax C Addition Property of Equality C

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Step 4 of the equation-solving process involves subtracting $$ 8x $$ from both sides of the equation:

$$
8x - 12 = 9x - 36 \quad \text{(Step 3)}
$$

Subtracting $$ 8x $$ from both sides:

$$
8x - 8x - 12 = 9x - 8x - 36 \quad \text{(Step 4)}
$$

This step utilizes the **Subtraction Property of Equality**, which states that if two expressions are equal, then subtracting the same value from both sides maintains the equality. Formally, if $$ a = b $$, then $$ a - c = b - c $$.

**Correct Answer:**  
A) Subtraction Property of Equality
The property used in Step 4 is the **Subtraction Property of Equality**.

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