Let's solve the equation \(5 - 2x = 3x - 7x + 25\) step by step.

1. Simplify the right side of the equation:
   \[
   3x - 7x = -4x
   \]
   So the equation becomes:
   \[
   5 - 2x = -4x + 25
   \]

2. Add \(4x\) to both sides to combine the \(x\) terms on one side:
   \[
   5 - 2x + 4x = 25
   \]
   \[
   5 + 2x = 25
   \]

3. Subtract 5 from both sides to isolate the \(x\) term:
   \[
   2x = 25 - 5
   \]
   \[
   2x = 20
   \]

4. Divide both sides by 2 to solve for \(x\):
   \[
   x = \frac{20}{2}
   \]
   \[
   x = 10
   \]

So, the solution to the equation is \(x = 10\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you solve equations with variables on both sides?
2. What are like terms and how do you combine them?
3. Can you explain how to isolate a variable in an equation?
4. What is the process for checking the solution of an equation?
5. How do you handle equations with parentheses or fractions?
6. What are the different methods for solving linear equations?
7. Can you explain the concept of balancing equations?
8. How do you solve equations with variables on the same side?

**Tip:** Always double-check your simplification steps to ensure accuracy in solving equations.

Learn how to solve the linear equation 5 - 2x = 3x - 7x + 25 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and simplification. Suitable for students in Grades 7-9.

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