15572x+33303（0.5732-0.3572）x=24650，solve for x

To solve the equation \( 15572x + 33303(0.5732 - 0.3572)x = 24650 \) for \( x \), follow these steps:

1. Simplify the expression inside the parentheses:
   \[
   0.5732 - 0.3572 = 0.216
   \]

2. Substitute this back into the equation:
   \[
   15572x + 33303 \cdot 0.216x = 24650
   \]

3. Simplify the multiplication:
   \[
   33303 \cdot 0.216 = 7193.448
   \]

4. Substitute back into the equation:
   \[
   15572x + 7193.448x = 24650
   \]

5. Combine like terms:
   \[
   (15572 + 7193.448)x = 24650
   \]
   \[
   22765.448x = 24650
   \]

6. Solve for \( x \):
   \[
   x = \frac{24650}{22765.448}
   \]
   \[
   x \approx 1.083
   \]

So, the solution for \( x \) is approximately \( 1.083 \).

Would you like more details or have any questions?

Here are 8 related questions to expand your understanding:

1. How do you solve a linear equation with one variable?
2. What are the steps to simplify expressions within parentheses?
3. How do you combine like terms in an equation?
4. What methods can be used to solve linear equations with decimals?
5. Can you verify the solution by substituting \( x \) back into the original equation?
6. How would you handle equations with multiple variables?
7. What are the common pitfalls in solving linear equations?
8. How can graphing help in solving linear equations?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation 15572x + 33303(0.5732 - 0.3572)x = 24650 with a detailed step-by-step solution. This problem involves linear equations, decimals, and combining like terms. Suitable for students in Grades 7-9.

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