Question

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

Answer 1

To solve the equation \( 3x - 3 = 6x + 18 \), we can start by isolating \( x \).

1. First, let's get all the terms involving \( x \) on one side and the constant terms on the other side. We can do this by subtracting \( 3x \) from both sides:

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

This simplifies to:

\[
-3 = 3x + 18
\]

2. Next, we will isolate the term with \( x \) by subtracting \( 18 \) from both sides:

\[
-3 - 18 = 3x
\]

This simplifies to:

\[
-21 = 3x
\]

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

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

This simplifies to:

\[
x = -7
\]

The solution is \( x = -7 \).

Therefore, the correct response is \( x = -7 \).