To solve the equation \( X \cdot 6 = 5 - 10 + 52 \), first simplify the right side:
Calculate \( 5 - 10 \): \[ 5 - 10 = -5 \]
Then add \( 52 \): \[ -5 + 52 = 47 \]
Now the equation can be rewritten as: \[ X \cdot 6 = 47 \]
Next, divide both sides by \( 6 \) to solve for \( X \): \[ X = \frac{47}{6} \]
So, \( X \) is approximately \( 7.8333 \) or \( 7 \frac{5}{6} \) as a mixed number.