2 + 3x = 4x + 9

1 answer

To solve the equation \( 2 + 3x = 4x + 9 \), follow these steps:

  1. First, we want to get all terms involving \( x \) on one side and constant terms on the other side. Subtract \( 3x \) from both sides:

    \[ 2 = 4x - 3x + 9 \]

    This simplifies to:

    \[ 2 = x + 9 \]

  2. Next, subtract 9 from both sides to solve for \( x \):

    \[ 2 - 9 = x \]

    This gives us:

    \[ -7 = x \]

So the solution to the equation is:

\[ x = -7 \]