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

Answer 1

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

1. Move all terms involving \( x \) to one side and constant terms to the other side. First, subtract \( 3x \) from both sides: \[ 13x - 3x + 26 = -34 \] which simplifies to: \[ 10x + 26 = -34 \]

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

3. Finally, divide by 10: \[ x = -6 \]

Thus, the solution is: \[ x = -6 \]

So the correct response is: \( x = -6 \).