Determine the value of x in this equation. You can choose the method you use to solve, but you must list ALL steps and the solution. 25(x+15)=26

Answer 1

To solve the equation \( 25(x + 15) = 26 \), follow these steps:

1. Distribute the 25 on the left side: \[ 25x + 375 = 26 \]

2. Subtract 375 from both sides to isolate the term with \( x \): \[ 25x + 375 - 375 = 26 - 375 \] \[ 25x = 26 - 375 \] \[ 25x = -349 \]

3. Now, divide both sides by 25 to solve for \( x \): \[ x = \frac{-349}{25} \]

4. Convert the division into a decimal (optional): Performing the division: \[ x = -13.96 \]

So the final value of \( x \) is: \[ \boxed{-\frac{349}{25}} \quad \text{or} \quad -13.96 \]