To determine the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\(\frac{x}{7} = 4\)[/tex], we need to solve for [tex]\( x \)[/tex].
Here’s a detailed step-by-step solution:
1. Start with the given equation:
[tex]\[
\frac{x}{7} = 4
\][/tex]
2. To isolate [tex]\( x \)[/tex], multiply both sides of the equation by 7 (the denominator of the fraction on the left side):
[tex]\[
x \cdot \frac{7}{7} = 4 \cdot 7
\][/tex]
3. Simplify the left side:
[tex]\[
x = 4 \cdot 7
\][/tex]
4. Calculate the right side:
[tex]\[
4 \times 7 = 28
\][/tex]
5. Thus, the value of [tex]\( x \)[/tex] is:
[tex]\[
x = 28
\][/tex]
So the correct answer is:
[tex]\[
x = 28
\][/tex]
Please enter the value of [tex]\( x \)[/tex] in the box:
[tex]\[
x = \boxed{28}
\][/tex]
