Question

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

Answer 1

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.