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

1 answer

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

Subtract \( 3x \) from both sides: \[ 13x - 3x + 26 = -34 \] This simplifies to: \[ 10x + 26 = -34 \]
Next, subtract 26 from both sides: \[ 10x = -34 - 26 \] Which simplifies to: \[ 10x = -60 \]
Finally, divide by 10: \[ x = \frac{-60}{10} = -6 \]

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

So, the answer is \( \text{x equals negative 6} \).