Solve Equations with Variables on Both Sides Quick Check

Question

5 of 55 of 5 Items
Question
Solve for x
: 13x+26=3x−34
.(1 point)
Responses

x=−6
x equals negative 6

x=3
x equals 3

x=18
x equals 18

x=−9

Answer 1

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

1. Move all terms involving \( x \) to one side: \[ 13x - 3x + 26 = -34 \] This simplifies to: \[ 10x + 26 = -34 \]

2. Move the constant to the other side: \[ 10x = -34 - 26 \] This simplifies to: \[ 10x = -60 \]

3. Divide by 10 to solve for \( x \): \[ x = -6 \]

So the solution is \( x = -6 \).

The correct response is: x = -6.