Question

Solve Equations with Variables on Both Sides Quick Check
5 of 55 of 5 Items
Question
Solve for x
: 13x+26=3x−34
.(1 point)
Responses

x=−6
x equals negative 6

x=18
x equals 18

x=−9
x equals negative 9

x=3

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 term to the other side**:
\[
10x = -34 - 26
\]
This simplifies to:
\[
10x = -60
\]

3. **Divide both sides by 10**:
\[
x = -6
\]

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

The correct response is:
**x = −6**.