Question

Solve for x
: 13x+26=3x−34
.(1 point)
Responses

x=−6
x equals negative 6

x=−9
x equals negative 9

x=3
x equals 3

x=18

Answer 1

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

1. **Isolate the variable terms on one side**:
- Subtract \( 3x \) from both sides:
\[
13x - 3x + 26 = -34
\]
This simplifies to:
\[
10x + 26 = -34
\]

2. **Isolate the constant**:
- Subtract 26 from both sides:
\[
10x = -34 - 26
\]
This simplifies to:
\[
10x = -60
\]

3. **Solve for \( x \)**:
- Divide both sides by 10:
\[
x = \frac{-60}{10}
\]
This simplifies to:
\[
x = -6
\]

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

The correct response is:
- x = -6
- x equals negative 6