Let's start by solving the equation step-by-step as Marion did.
-
The original equation is: \[ 9x - 6 = 12 \]
-
Marion adds 6 to both sides: \[ 9x - 6 + 6 = 12 + 6 \] This simplifies to: \[ 9x = 18 \]
-
In the next step, to isolate \(x\), we need to divide both sides by \(9\): \[ \frac{9x}{9} = \frac{18}{9} \]
Therefore, each side needs to be divided by 9. After performing this division, we will find: \[ x = 2 \]