To solve the equation [tex]\(\frac{x}{5} = 25\)[/tex], we need to isolate [tex]\(x\)[/tex]. Here are the steps:
1. The equation is given as [tex]\(\frac{x}{5} = 25\)[/tex].
2. To isolate [tex]\(x\)[/tex], we need to eliminate the denominator 5. We do this by multiplying both sides of the equation by 5.
[tex]\[
\frac{x}{5} \cdot 5 = 25 \cdot 5
\][/tex]
3. On the left side, the 5s cancel out, leaving us with:
[tex]\[
x = 25 \cdot 5
\][/tex]
4. Now, we multiply 25 by 5:
[tex]\[
x = 125
\][/tex]
Thus, the value of [tex]\(x\)[/tex] is 125.
Therefore, the correct answer is:
D. [tex]\(x = 125\)[/tex]
