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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

1 answer

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 \( x = 4 \).