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

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

3 answers

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. \( x = -6 \).

are you positive this is correct

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. \( x = -6 \).