Let's solve the equation \(0.4 \times 4243 + 0.4x = 4243 \times 100\).

### Step 1: Simplify both sides of the equation
- Multiply \(0.4\) by \(4243\):
  \[
  0.4 \times 4243 = 1697.2
  \]
- Multiply \(4243\) by \(100\):
  \[
  4243 \times 100 = 424300
  \]
  
Now the equation becomes:
\[
1697.2 + 0.4x = 424300
\]

### Step 2: Isolate the variable \(x\)
- Subtract \(1697.2\) from both sides:
  \[
  0.4x = 424300 - 1697.2
  \]
- Calculate the right-hand side:
  \[
  424300 - 1697.2 = 422602.8
  \]
  
Now the equation is:
\[
0.4x = 422602.8
\]

### Step 3: Solve for \(x\)
- Divide both sides by \(0.4\):
  \[
  x = \frac{422602.8}{0.4} = 1056507
  \]

So, the solution is \(x = 1056507\).

Would you like to see more details or have any questions?

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Here are some related questions for further practice:

1. Solve the equation \(0.5x + 200 = 600\).
2. If \(0.3y = 900 - 0.1y\), what is the value of \(y\)?
3. What is the solution to \(2x + 3 = 4x - 1\)?
4. Simplify and solve the equation \(1.5x - 2.5 = 0.5x + 4.5\).
5. Solve the equation \(x/2 + 3x/4 = 10\).

**Tip:** When working with linear equations, it's often easier to combine like terms and isolate the variable step by step.

Learn how to solve the equation 0.4 * 4243 + 0.4x = 4243 * 100 with a detailed step-by-step solution. This problem involves working with decimals, multiplication, and division. Suitable for students in Grades 5-7.

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