Question

find the additive inverse of $3x - 6$.

Explanation:

Step1: Recall additive inverse definition

The additive inverse of a number (or expression) \( a \) is a number (or expression) \( b \) such that \( a + b = 0 \). So, for an expression \( E \), its additive inverse is \( -E \) (since \( E + (-E)=0 \)).

Step2: Apply to \( 3x - 6 \)

Given the expression \( 3x - 6 \), its additive inverse is \( -(3x - 6) \).

Step3: Simplify the expression

Using the distributive property \( - (a - b)=-a + b \), we get \( -3x + 6 \) (or \( 6 - 3x \)).

Answer:

\( -3x + 6 \) (or \( 6 - 3x \))