Solve for x : 13x+26=3x−34 .(1 point) Responses x=3 x equals 3 x=−9 x equals negative 9 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. First, let's get all the \( x \) terms on one side and the constant terms on the other side. We can start by subtracting \( 3x \) from both sides:

\[ 13x - 3x + 26 = -34 \]

This simplifies to:

\[ 10x + 26 = -34 \]

2. Next, we need to isolate the term with \( x \). We can do this by subtracting \( 26 \) from both sides:

\[ 10x = -34 - 26 \]

This simplifies to:

\[ 10x = -60 \]

3. Now, to solve for \( x \), we divide both sides by \( 10 \):

\[ x = \frac{-60}{10} = -6 \]

Thus, the solution is:

\[ x = -6 \]

So the correct response is x equals negative 6.