Let's break down the problem step by step.
We are given the statement: "When six times a number is decreased by 2, the result is 46." We can set this up as an equation.
Let the number be represented by \( x \).
The equation can be written as: \[ 6x - 2 = 46 \]
To solve for \( x \), we first add 2 to both sides of the equation: \[ 6x - 2 + 2 = 46 + 2 \] \[ 6x = 48 \]
Next, we divide both sides by 6: \[ x = \frac{48}{6} \] \[ x = 8 \]
So the number is \( x = 8 \).
Thus, your answer is correct: the number is 8.