To solve the equation \( (0.1x) = 0.4 \), follow these steps:

1. Start with the equation:
   \[
   0.1x = 0.4
   \]

2. To isolate \( x \), divide both sides of the equation by 0.1:
   \[
   x = \frac{0.4}{0.1}
   \]

3. Simplify the right-hand side:
   \[
   x = 4
   \]

So, the solution is \( x = 4 \).

Would you like more details or have any questions about this solution?

Here are 5 related questions for further practice:
1. Solve \( 0.2x = 0.6 \).
2. Solve \( 0.05x = 0.25 \).
3. If \( 0.3x = 0.9 \), what is \( x \)?
4. Solve \( 0.4x = 1.6 \).
5. What is \( x \) in \( 0.15x = 0.45 \)?

**Tip:** When solving equations involving decimals, multiplying both sides by 10 can help eliminate the decimal and simplify calculations.

Learn how to solve the linear equation 0.1x = 0.4 in this step-by-step guide. This problem focuses on basic algebraic concepts and solving equations with decimals, suitable for students in Grades 6-7. Includes examples for further practice.

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