Solve for x : 13x+24=3x−26 .(1 point) x=

Answer 1

To solve the equation \( 13x + 24 = 3x - 26 \), follow these steps:

1. Start by isolating the \( x \) terms on one side. Subtract \( 3x \) from both sides:

   \[ 13x - 3x + 24 = -26 \]

   This simplifies to:

   \[ 10x + 24 = -26 \]

2. Next, subtract 24 from both sides to isolate the term with \( x \):

   \[ 10x = -26 - 24 \]

   This simplifies to:

   \[ 10x = -50 \]

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

   \[ x = \frac{-50}{10} \]

   This simplifies to:

   \[ x = -5 \]

Thus, the solution is

\[ \boxed{-5} \]