Solve for x

Question

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

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

2. Rearrange the equation to get all terms involving \( x \) on one side and constant terms on the other side. Subtract \( 3x \) from both sides: \[ -3 = 6x - 3x + 18 \] Which simplifies to: \[ -3 = 3x + 18 \]

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

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

Thus, the solution is \( x = -7 \).

The final answer is: x = −7.