Question

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

Answer 1

are you positive this is correct

Answer 2

To solve the equation \( 13x + 26 = 3x - 34 \), follow these steps:

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

2. Subtract 26 from both sides:
\[
10x = -34 - 26
\]
\[
10x = -60
\]

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

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

The answer is A. \( x = -6 \).

Answer 3

Yes, let's double-check the solution step by step for clarity.

Starting with the original equation:
\[
13x + 26 = 3x - 34
\]

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

2. Next, subtract 26 from both sides:
\[
10x = -34 - 26
\]
Calculating the right side gives:
\[
10x = -60
\]

3. Finally, divide both sides by 10:
\[
x = \frac{-60}{10}
\]
Simplifying results in:
\[
x = -6
\]

Since every step checks out, I can confirm that the solution is indeed correct:

The answer is A. \( x = -6 \).