What is the solution to this equation?

[tex]\[ \frac{x}{5} = 25 \][/tex]

A. [tex]\( x = 30 \)[/tex]
B. [tex]\( x = 20 \)[/tex]
C. [tex]\( x = 5 \)[/tex]
D. [tex]\( x = 125 \)[/tex]



Answer :

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]