marion is solving the equation 9x - 6 = 12. As a first step, she adds 6 to both sides of the equation. in the next step, by what value does each sude need to be divided?

1 answer

Let's start by solving the equation step-by-step as Marion did.

  1. The original equation is: \[ 9x - 6 = 12 \]

  2. Marion adds 6 to both sides: \[ 9x - 6 + 6 = 12 + 6 \] This simplifies to: \[ 9x = 18 \]

  3. 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: \[ x = 2 \]