Solve for x: 13x - 1 = 19x - 25.

Question

A. x = -9
B. x = -6
C. x = 4
D. x = 3

Answer 1

To solve the equation \( 13x - 1 = 19x - 25 \), follow these steps:

1. Start with the original equation: \[ 13x - 1 = 19x - 25 \]

2. Rearrange the equation to isolate terms involving \( x \) on one side. We can do this by subtracting \( 13x \) from both sides: \[ -1 = 19x - 13x - 25 \]

3. This simplifies to: \[ -1 = 6x - 25 \]

4. Next, add \( 25 \) to both sides: \[ -1 + 25 = 6x \] \[ 24 = 6x \]

5. Finally, divide both sides by \( 6 \): \[ x = \frac{24}{6} = 4 \]

The solution is: \[ \boxed{4} \]

So the answer is C. \( x = 4 \).