8. $$ \left(\frac{2}{5} x+\frac{1}{5}\right)-\frac{3}{10} $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
\left(\frac{2}{5} x + \frac{1}{5}\right) - \frac{3}{10}
$$

**Step 1: Distribute and Combine Like Terms**

Start by distributing and combining the constant terms:

$$
\frac{2}{5}x + \frac{1}{5} - \frac{3}{10}
$$

**Step 2: Find a Common Denominator for the Constants**

The constants are $$\frac{1}{5}$$ and $$\frac{3}{10}$$. The least common denominator (LCD) for 5 and 10 is 10.

Convert $$\frac{1}{5}$$ to tenths:

$$
\frac{1}{5} = \frac{2}{10}
$$

Now, subtract $$\frac{3}{10}$$:

$$
\frac{2}{10} - \frac{3}{10} = -\frac{1}{10}
$$

**Step 3: Write the Simplified Expression**

Combine the simplified terms:

$$
\frac{2}{5}x - \frac{1}{10}
$$

**Final Answer:**

$$
\frac{2}{5}x - \frac{1}{10}
$$
The simplified expression is $$ \frac{2}{5}x - \frac{1}{10} $$.

8. \( \left(\frac{2}{5} x+\frac{1}{5}\right)-\frac{3}{10} \)