Question

Solve for x
: 13x−1=19x−25
.(1 point)
Responses

x=4
x is equal to 4 - no response given

x=−6
x is equal to negative 6 - no response given

x=3
x is equal to 3 - incorrect

x=−9

Answer 1

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

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

2. Move all terms involving \( x \) to one side and constant terms to the other side. We can do this by subtracting \( 13x \) from both sides:
\[ -1 = 19x - 13x - 25 \]

3. Simplify the equation:
\[ -1 = 6x - 25 \]

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

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

So, the solution is \( x = 4 \).