To solve the equation
[tex]\[
\frac{x}{5} = 15
\][/tex]
we need to isolate the variable [tex]\( x \)[/tex]. This involves getting rid of the denominator on the left side.
1. The equation is currently in the form [tex]\( \frac{x}{5} = 15 \)[/tex].
2. To eliminate the denominator, multiply both sides of the equation by 5:
[tex]\[
5 \cdot \frac{x}{5} = 5 \cdot 15
\][/tex]
3. On the left side, [tex]\( \frac{x}{5} \times 5 = x \)[/tex], since multiplying by 5 and dividing by 5 cancel each other out.
4. This simplifies to:
[tex]\[
x = 75
\][/tex]
Thus, the solution to the equation is [tex]\( x \)[/tex]. From the given options, the correct choice is:
C. [tex]\( x = 75 \)[/tex]
