To solve the equation \( 7x + 25 = 11x + 5 \), follow these steps:

1. **Subtract \(7x\) from both sides** to move all terms involving \(x\) to one side:
   \[
   7x + 25 - 7x = 11x + 5 - 7x
   \]
   This simplifies to:
   \[
   25 = 4x + 5
   \]

2. **Subtract 5 from both sides** to isolate the term involving \(x\):
   \[
   25 - 5 = 4x + 5 - 5
   \]
   This simplifies to:
   \[
   20 = 4x
   \]

3. **Divide by 4** to solve for \(x\):
   \[
   \frac{20}{4} = \frac{4x}{4}
   \]
   This gives:
   \[
   x = 5
   \]

So, the solution to the equation \( 7x + 25 = 11x + 5 \) is \( x = 5 \).

Would you like more details on any of the steps or have any questions?

Here are some related questions to explore further:
1. How do we solve linear equations with variables on both sides?
2. What if there were fractions involved in this equation?
3. How can we verify that \(x = 5\) is the correct solution?
4. What are some methods to solve linear equations besides isolating \(x\)?
5. How do we interpret the solution to a linear equation graphically?

**Tip:** When solving equations, always aim to get all variable terms on one side and constants on the other for simplicity.

Learn how to solve the linear equation 7x + 25 = 11x + 5 step-by-step. This solution demonstrates key algebraic concepts such as isolating variables and simplifying equations, perfect for students in Grades 6-8.

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