Let's solve the equation:

\[
-0.10(30) + 0.60x = 0.05(x - 16)
\]

### Step 1: Simplify both sides
Distribute the constants on both sides:

\[
-0.10(30) = -3
\]
\[
0.05(x - 16) = 0.05x - 0.8
\]

So, the equation becomes:

\[
-3 + 0.60x = 0.05x - 0.8
\]

### Step 2: Move all the \( x \)-terms to one side
Subtract \( 0.05x \) from both sides:

\[
-3 + 0.60x - 0.05x = -0.8
\]
\[
-3 + 0.55x = -0.8
\]

### Step 3: Move the constants to the other side
Add 3 to both sides:

\[
0.55x = -0.8 + 3
\]
\[
0.55x = 2.2
\]

### Step 4: Solve for \( x \)
Divide both sides by 0.55:

\[
x = \frac{2.2}{0.55} = 4
\]

Thus, the solution is:

\[
x = 4
\]

Would you like a detailed explanation of any step?

Here are some related questions to explore further:
1. How do you solve linear equations with variables on both sides?
2. What are common mistakes when solving equations with decimals?
3. How can you check if your solution to an equation is correct?
4. How does distributing constants work in algebraic equations?
5. How can you manipulate decimals when solving algebraic expressions?

**Tip:** When working with decimals, multiplying the whole equation by 10 or 100 can eliminate them for easier manipulation!

Learn how to solve the linear equation -0.10(30) + 0.60x = 0.05(x - 16) step-by-step, covering key algebraic concepts like the distributive property and solving equations with decimals. This solution is suitable for students in Grades 7-9.

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