Solve for x

Question

: 13x+26=3x−34
.(1 point)
Responses

x=−6
x equals negative 6

x=−9
x equals negative 9

x=3
x equals 3

x=18

Answer 1

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

1. Isolate the variable terms on one side:

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

2. Isolate the constant:

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

3. Solve for \( x \):

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

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

The correct response is:

• x = -6
• x equals negative 6