Solve Equations with Variables on Both Sides Quick Check

Question

3 of 53 of 5 Items
Question
Solve for x
: 3x−3=6x+18
.(1 point)
Responses

x=9
x equals 9

x=−6
x equals negative 6

x=2
x equals 2

x=−7

Answer 1

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

1. Rearrange the equation to isolate \( x \):

   • Subtract \( 3x \) from both sides: \[ -3 = 6x - 3x + 18 \] This simplifies to: \[ -3 = 3x + 18 \]

2. Next, isolate the term with \( x \):

   • Subtract \( 18 \) from both sides: \[ -3 - 18 = 3x \] Simplifying gives: \[ -21 = 3x \]

3. Finally, divide both sides by \( 3 \): \[ x = \frac{-21}{3} = -7 \]

Therefore, the solution is: \[ x = -7 \]

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