Solve for x : 3x−3=6x+18 .(1 point) Responses x=9 x equals 9 x=2 x equals 2 x=−6 x equals negative 6 x=−7

Answer 1

To solve the equation \(3x - 3 = 6x + 18\), follow these steps:

1. Move all terms involving \(x\) to one side of the equation and constants to the other side. Start by subtracting \(3x\) from both sides:

   \[ -3 = 6x - 3x + 18 \]

   This simplifies to:

   \[ -3 = 3x + 18 \]

2. Next, subtract \(18\) from both sides to isolate the term with \(x\):

   \[ -3 - 18 = 3x \]

   Simplifying this gives:

   \[ -21 = 3x \]

3. Finally, divide both sides by \(3\):

   \[ x = \frac{-21}{3} = -7 \]

Thus, the solution is:

\[ \boxed{-7} \]