To solve the equation \( x \cdot 5 + 6 = 6x \cdot 5 \), we can start by simplifying both sides of the equation:
Rewrite the equation:
\[ 5x + 6 = 30x \]
Next, we can subtract \( 5x \) from both sides:
\[ 6 = 30x - 5x \]
This simplifies to:
\[ 6 = 25x \]
Now, divide both sides by 25 to solve for \( x \):
\[ x = \frac{6}{25} \]
So, the solution for \( x \) is:
\[ x = \frac{6}{25} \]