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Solve for x : 3x−3=6x+18 .(1 point)

Responses

x=−7
x equals negative 7

x=−6
x equals negative 6

x=2
x equals 2

x=9

1 answer

To solve for \( x \) in 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 \( 6x \) from both sides:

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

    This simplifies to:

    \[ -3x - 3 = 18 \]

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

    \[ -3x = 18 + 3 \]

    This simplifies to:

    \[ -3x = 21 \]

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

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

Thus, the solution is:

\[ x = -7 \]

So the correct response is \( x = -7 \) or \( x \) equals negative 7.