Question

Solve Equations with Variables on Both Sides Quick Check
3 of 53 of 5 Items
Question
Solve for x
: 3x−3=6x+18
.(1 point)
Responses

x=−7
x equals negative 7

x=−6
x equals negative 6

x=9
x equals 9

x=2

Answer 1

To solve the equation \(3x - 3 = 6x + 18\), we need to get all the terms involving \(x\) on one side and constant terms on the other side. Here's how to do it step by step:

1. Start with the original equation:
\[
3x - 3 = 6x + 18
\]

2. Subtract \(3x\) from both sides:
\[
-3 = 3x + 18
\]

3. Next, subtract \(18\) from both sides:
\[
-3 - 18 = 3x
\]
\[
-21 = 3x
\]

4. Finally, divide both sides by \(3\):
\[
x = -7
\]

So the solution is \(x = -7\). The correct response is:
- x = -7