Solve for x : 13x+26=3x−34 .(1 point) Responses x=−9 x equals negative 9 x=3 x equals 3 x=−6 x equals negative 6 x=18

Answer 1

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

1. Rearrange the equation:

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

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

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

So the solution is \( x = -6 \).

The correct response is \( x = -6 \) or \( x \) equals negative 6.