Solve for x

Question

: 3x−3=6x+18
.(1 point)
Responses

x=−6
x equals negative 6

x=2
x equals 2

x=−7
x equals negative 7

x=9

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 constant terms to the other side. Start by subtracting \(3x\) from both sides:

   \[ -3 = 3x + 18 \]

2. Next, subtract \(18\) from both sides:

   \[ -3 - 18 = 3x \]

   \[ -21 = 3x \]

3. Now, divide both sides by \(3\) to solve for \(x\):

   \[ x = -7 \]

Thus, the solution is \(x = -7\).

The correct response is:

x = -7 (x equals negative 7).