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Solve for x: 13x + 26 = 3x - 34.

A. x = 3
B. x = 18
C. x = -6
D. x = -9

3 answers

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. \( x = -6 \).

are you positive this is correct

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. \( x = -6 \).