Question

Determine the value of x in this equation. Share each step in the process.
2/5(x+15)=26

Answer 1

To solve the equation \( \frac{2}{5}(x + 15) = 26 \), we'll follow these steps systematically:

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

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

This simplifies to:

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

### Step 2: Distribute
Next, we'll distribute the 2 on the left side:

\[
2x + 30 = 130
\]

### Step 3: Isolate the Variable Term
To isolate the term with \( x \), we need to subtract 30 from both sides of the equation:

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

This simplifies to:

\[
2x = 100
\]

### Step 4: Solve for \( x \)
Now, divide both sides by 2 to solve for \( x \):

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

This simplifies to:

\[
x = 50
\]

### Conclusion
The value of \( x \) is \( \boxed{50} \).