Let's solve the equation \( 4x + 1 = 6 - 5x \) step by step and verify if the solution is indeed \( \frac{5}{9} \).

### Steps:

1. **Move all terms involving \( x \) to one side:**
   \[
   4x + 5x = 6 - 1
   \]
   This simplifies to:
   \[
   9x = 5
   \]

2. **Solve for \( x \):**
   \[
   x = \frac{5}{9}
   \]

So yes, the solution to the equation is indeed \( \frac{5}{9} \).

Would you like more details on this, or do you have any other questions?

Here are some related questions for further practice:
1. Solve \( 3x + 2 = 7 - 4x \).
2. Solve \( 5x - 3 = 2x + 8 \).
3. Solve \( 7x + 4 = 12 - 6x \).
4. Solve \( 2(x + 3) = 4 - 3x \).
5. Solve \( 10x - 7 = 5x + 14 \).

**Tip:** Always group terms with variables on one side and constants on the other to simplify linear equations easily.

4*x + 1 = 6 − 5*x is the answer 5 over 9?

Learn how to solve the linear equation 4x + 1 = 6 − 5x with a step-by-step solution. This problem covers key algebra concepts such as combining like terms and solving for a variable. Suitable for students in Grades 6-8.

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