Question

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 \( 25(x + 15) = 26 \), we will follow these steps:

### Step 1: Distribute the 25
First, we will distribute the 25 on the left side of the equation:

\[
25 \cdot x + 25 \cdot 15 = 26
\]

This simplifies to:

\[
25x + 375 = 26
\]

### Step 2: Isolate the term with x
Next, we want to isolate the term containing \( x \). To do this, we subtract 375 from both sides of the equation:

\[
25x + 375 - 375 = 26 - 375
\]

This results in:

\[
25x = 26 - 375
\]

Calculating the right side:

\[
26 - 375 = -349
\]

So we have:

\[
25x = -349
\]

### Step 3: Solve for x
Now, we divide both sides by 25 to solve for \( x \):

\[
x = \frac{-349}{25}
\]

### Step 4: Simplify the fraction (if necessary)
Since \( -349 \) and \( 25 \) have no common factors besides 1, we can leave the fraction as it is. For better understanding, we can convert it into a decimal, if necessary:

\[
x \approx -13.96
\]

### Step 5: Conclusion
Thus, the final solution for \( x \) is:

\[
\boxed{\frac{-349}{25}} \quad \text{or} \quad \boxed{-13.96}
\]