Solve for x

: 3x−3=6x+18
.(1 point)
Responses

x=−7
x equals negative 7

x=9
x equals 9

x=−6
x equals negative 6

x=2

1 answer

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

  1. Move all terms involving \( x \) to one side of the equation and constant terms to the other side: \[ 3x - 6x = 18 + 3 \] This simplifies to: \[ -3x = 21 \]

  2. Divide both sides by -3 to isolate \( x \): \[ x = \frac{21}{-3} = -7 \]

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

So the correct response is:

  • \( x = -7 \)
  • \( x \) equals negative 7.