2(x-3)=-3(x+7)

To solve the equation \( 2(x - 3) = -3(x + 7) \), follow these steps:

1. Distribute on both sides:

   \[ 2x - 6 = -3x - 21 \]

2. Add \( 3x \) to both sides to get all \( x \) terms on one side:

   \[ 2x + 3x - 6 = -21 \]

   This simplifies to:

   \[ 5x - 6 = -21 \]

3. Next, add \( 6 \) to both sides to isolate the \( x \) term:

   \[ 5x = -21 + 6 \]

   This simplifies to:

   \[ 5x = -15 \]

4. Finally, divide both sides by \( 5 \):

   \[ x = \frac{-15}{5} \]

   This simplifies to:

   \[ x = -3 \]

So, the solution to the equation \( 2(x - 3) = -3(x + 7) \) is \( x = -3 \).