Question

1. which value for x satisfies the equation 3x - 6 = 15?

a 5
b 7
c 18
d 27

Explanation:

Step1: Add 6 to both sides

To isolate the term with \( x \), we add 6 to both sides of the equation \( 3x - 6 = 15 \). This gives us \( 3x - 6 + 6 = 15 + 6 \), which simplifies to \( 3x = 21 \).

Step2: Divide by 3

Now, to solve for \( x \), we divide both sides of the equation \( 3x = 21 \) by 3. So, \( \frac{3x}{3} = \frac{21}{3} \), which simplifies to \( x = 7 \). Wait, no, wait, 15 + 6 is 21? Wait, no, the original equation—wait, maybe I misread. Wait, the equation is \( 3x - 6 = 15 \)? Wait, no, looking at the image, the equation is \( 3x - 6 = 15 \)? Wait, no, let me check again. Wait, the problem is "Which value for x satisfies the equation \( 3x - 6 = 15 \)?" Wait, no, maybe the equation is \( 3x - 6 = 15 \)? Wait, no, when we solve \( 3x - 6 = 15 \), add 6: \( 3x = 21 \), then \( x = 7 \). But wait, the options are A. 5, B. 7, C. 18, D. 27. Wait, 3*7 -6 = 21 -6 =15. Yes, so x=7. Wait, but let me re-express the steps correctly.

Step1: Add 6 to both sides

Given \( 3x - 6 = 15 \), add 6 to both sides:
\( 3x - 6 + 6 = 15 + 6 \)
Simplifies to: \( 3x = 21 \)

Step2: Divide by 3

Divide both sides by 3:
\( \frac{3x}{3} = \frac{21}{3} \)
Simplifies to: \( x = 7 \)

Answer:

B. 7