To solve the equation \( \frac{x}{6} = \frac{10}{25} \), you can first simplify the fraction on the right side:
\[ \frac{10}{25} = \frac{2}{5} \]
Now, the equation becomes:
\[ \frac{x}{6} = \frac{2}{5} \]
Next, to solve for \( x \), you can cross-multiply:
\[ x \cdot 5 = 2 \cdot 6 \]
This simplifies to:
\[ 5x = 12 \]
Now, divide both sides by 5 to isolate \( x \):
\[ x = \frac{12}{5} \]
So, the value of \( x \) is:
\[ x = 2.4 \]