To find the value of [tex]\( x \)[/tex] in the equation [tex]\(\frac{x}{4} = 4\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
\frac{x}{4} = 4
\][/tex]
2. To isolate [tex]\( x \)[/tex], you need to eliminate the denominator. Multiply both sides of the equation by 4:
[tex]\[
4 \cdot \frac{x}{4} = 4 \cdot 4
\][/tex]
3. On the left side of the equation, the 4s cancel out, leaving you with:
[tex]\[
x = 4 \cdot 4
\][/tex]
4. Simplify the right side of the equation:
[tex]\[
x = 16
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 16 \)[/tex]. The correct answer is:
[tex]\[
\boxed{16}
\][/tex]
