Final answer:
The missing number in the equation '6 x __ = 5 x 6' is 5, because 6 multiplied by 5 equals 30, which is the same product as 5 times 6.
Step-by-step explanation:
To solve for the missing number in the equation 6 x __ = 5 x 6, we need to recognize that both sides of the equation represent a multiplication of 6 and another number. The right side of the equation already tells us that 6 is being multiplied by 5, giving us 30 as a product.
Since both sides of the equation must be equal, the left side must also have a product of 30. Thus, when we replace the missing number with the correct value that produces 30 when multiplied by 6, the value we are looking for is 5 (6 x 5 = 30).
Therefore, the complete equation should read 6 x 5 = 5 x 6, confirming that the missing number is indeed 5.