Solve Other Linear Equations Quick Check

Question

3 of 53 of 5 Items
Question
Solve for x : 13x+26=3x−34 .(1 point)
Responses

x=−9
x equals negative 9

x=3
x equals 3

x=18
x equals 18

x=−6
x equals negative 6

Answer 1

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

1. Get all terms involving \( x \) on one side and constant terms on the other side.

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

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

So, the correct response is: x = -6 (x equals negative 6).