Sure! Let's use the distributive property to evaluate the expression [tex]\( 4(2x - 1) \)[/tex] when [tex]\( x = 5 \)[/tex].
1. Apply the distributive property: The distributive property states that [tex]\( a(b + c) = ab + ac \)[/tex]. So, we distribute the 4 across the terms inside the parenthesis.
[tex]\[
4(2x - 1) = 4 \cdot 2x - 4 \cdot 1
\][/tex]
Simplifying this:
[tex]\[
4(2x - 1) = 8x - 4
\][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the simplified expression:
[tex]\[
8x - 4 \quad \text{becomes} \quad 8 \cdot 5 - 4
\][/tex]
3. Perform multiplication:
[tex]\[
8 \cdot 5 = 40
\][/tex]
4. Subtract 4 from 40:
[tex]\[
40 - 4 = 36
\][/tex]
Therefore, the value of [tex]\( 4(2x - 1) \)[/tex] when [tex]\( x = 5 \)[/tex] is [tex]\( 36 \)[/tex]. The correct answer is:
[tex]\[
\boxed{36}
\][/tex]
