Question

Determine the value of x in this equation. Share each step in the process.

2/5(x+15)=26

Answer 1

To determine the value of \( x \) in the equation

\[
\frac{2}{5}(x + 15) = 26,
\]

we can follow these steps:

### Step 1: Eliminate the Fraction
To eliminate the fraction, we can multiply both sides of the equation by 5:

\[
5 \cdot \frac{2}{5}(x + 15) = 5 \cdot 26.
\]

This simplifies to:

\[
2(x + 15) = 130.
\]

### Step 2: Distribute the 2
Next, we distribute the 2 on the left side of the equation:

\[
2x + 30 = 130.
\]

### Step 3: Isolate the Term with x
Now, we need to isolate the term with \( x \). We can do this by subtracting 30 from both sides of the equation:

\[
2x + 30 - 30 = 130 - 30.
\]

This simplifies to:

\[
2x = 100.
\]

### Step 4: Solve for x
Finally, we divide both sides of the equation by 2 to solve for \( x \):

\[
x = \frac{100}{2}.
\]

This gives us:

\[
x = 50.
\]

### Conclusion
The value of \( x \) is

\[
\boxed{50}.
\]