To solve the equation \(\frac{0.03 + x}{0.02} = \frac{0.7 - x}{0.4}\) for \(x\), we can follow these steps:

1. **Clear the fractions** by multiplying both sides of the equation by the least common multiple (LCM) of the denominators.
2. **Simplify** and solve for \(x\).

### Step-by-Step Solution:

1. **Clear the fractions**:
   The denominators are \(0.02\) and \(0.4\). The LCM of \(0.02\) and \(0.4\) is \(0.4\).

   Multiply both sides by \(0.4 \times 0.02\):

   \[
   (0.03 + x) \times 0.4 = (0.7 - x) \times 0.02
   \]

2. Simplify each term:

   \[
   0.4 \times (0.03 + x) = 0.02 \times (0.7 - x)
   \]

   \[
   0.012 + 0.4x = 0.014 - 0.02x
   \]

3. Combine like terms:
   Add \(0.02x\) to both sides to get all \(x\) terms on one side:

   \[
   0.012 + 0.4x + 0.02x = 0.014
   \]

   \[
   0.012 + 0.42x = 0.014
   \]

   Subtract \(0.012\) from both sides to isolate the \(x\) term:

   \[
   0.42x = 0.014 - 0.012
   \]

   \[
   0.42x = 0.002
   \]

4. Solve for \(x\):

   \[
   x = \frac{0.002}{0.42}
   \]

   \[
   x \approx 0.00476
   \]

### Final Answer:

\[
x \approx 0.00476
\]

Would you like more details or have any questions?

Here are 5 questions you might be interested in:

1. How do you solve systems of equations using substitution?
2. What is the process for solving rational equations?
3. How do you apply the distributive property in algebra?
4. What are the steps to solve linear inequalities?
5. How do you graph a linear equation on a coordinate plane?

**Tip**: When dealing with decimal fractions, it's often helpful to multiply through by a power of 10 to clear the decimals, making the equation easier to handle.

Learn how to solve the equation (0.03+x)/0.02=(0.7-x)/0.4 with a detailed step-by-step solution. This problem involves equations with fractions and decimals, suitable for students in Grades 9-12.

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