6x - 9 =3x

1 answer

To solve the equation \( 6x - 9 = 3x \), follow these steps:

  1. Subtract \( 3x \) from both sides of the equation:

    \[ 6x - 3x - 9 = 3x - 3x \]

    This simplifies to:

    \[ 3x - 9 = 0 \]

  2. Next, add 9 to both sides:

    \[ 3x - 9 + 9 = 0 + 9 \]

    This simplifies to:

    \[ 3x = 9 \]

  3. Finally, divide both sides by 3:

    \[ x = \frac{9}{3} \]

    This simplifies to:

    \[ x = 3 \]

So, the solution to the equation \( 6x - 9 = 3x \) is \( x = 3 \).