Solve for x : 13x+26=3x−34 .(1 point)

Question

Responses

x=18
x equals 18

x=−6
x equals negative 6

x=3
x equals 3

x=−9

Answer 1

To solve the equation \( 13x + 26 = 3x - 34 \), we will first isolate \( x \).

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

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

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

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

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