Question

Solve for x: 13x + 26 = 3x - 34.
A. x = 3
B. x = 18
C. x = -6
D. x = -9

Answer 1

are you positive this is correct

Answer 2

To solve the equation \( 13x + 26 = 3x - 34 \), we will first rearrange the equation to isolate \( x \).

1. Subtract \( 3x \) from both sides:
\[
13x - 3x + 26 = -34
\]
\[
10x + 26 = -34
\]

2. Next, subtract 26 from both sides:
\[
10x + 26 - 26 = -34 - 26
\]
\[
10x = -60
\]

3. Now divide both sides by 10:
\[
x = \frac{-60}{10}
\]
\[
x = -6
\]

Thus, the solution is \( x = -6 \).

The correct answer is **C. \( x = -6 \)**.

Answer 3

Yes, I am confident that the solution is correct. Let's verify by substituting \( x = -6 \) back into the original equation \( 13x + 26 = 3x - 34 \):

1. Substitute \( x = -6 \) into the left side:
\[
13(-6) + 26 = -78 + 26 = -52
\]

2. Now substitute \( x = -6 \) into the right side:
\[
3(-6) - 34 = -18 - 34 = -52
\]

Both sides result in -52, confirming that the solution \( x = -6 \) is indeed correct. Therefore, the final answer remains **C. \( x = -6 \)**.