Solve for x : 13x−1=19x−25 .

Answer 1

To solve the equation \( 13x - 1 = 19x - 25 \), we start by isolating the variable \( x \).

1. First, we can move all terms involving \( x \) to one side of the equation. We can do this by subtracting \( 13x \) from both sides:

\[ -1 = 19x - 13x - 25 \]

2. Simplifying the right side gives:

\[ -1 = 6x - 25 \]

3. Next, we want to isolate \( 6x \). We can do this by adding 25 to both sides:

\[ -1 + 25 = 6x \]

\[ 24 = 6x \]

4. Now, we divide both sides by 6 to solve for \( x \):

\[ x = \frac{24}{6} = 4 \]

The solution is:

\[ \boxed{4} \]