Solve for x : 13x+26=3x−34 .(1 point)

Question

Responses

x=18
x equals 18

x=−9
x equals negative 9

x=3
x equals 3

x=−6

Answer 1

To solve for \( x \) in 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. Now, subtract \( 26 \) from both sides:

\[ 10x = -34 - 26 \]

This simplifies to:

\[ 10x = -60 \]

3. Finally, divide both sides by \( 10 \):

\[ x = -6 \]

The solution is \( x = -6 \).

Thus, the answer is \( \boxed{-6} \).