Marion is solving the equation 9x − 6 = 12

Question

. As a first step, she adds 6 to both sides of the equation. In the next step, by what value does each side need to be divided? (1 point)

Answer 1

Starting with the equation \( 9x - 6 = 12 \), Marion's first step is to add 6 to both sides:

\[ 9x - 6 + 6 = 12 + 6 \]

This simplifies to:

\[ 9x = 18 \]

Now, for the next step, Marion needs to isolate \( x \). To do that, each side needs to be divided by 9:

\[ \frac{9x}{9} = \frac{18}{9} \]

This simplifies to:

\[ x = 2 \]

So, the value that each side needs to be divided by in the next step is 9.