The equation provided in the image is:

$5(x + 3) + 1 = 5x + 2$

Let's solve this equation step by step.

Step 1: Distribute the 5 on the left-hand side.

$5 \cdot x + 5 \cdot 3 + 1 = 5x + 2$ $5x + 15 + 1 = 5x + 2$

Step 2: Combine like terms on the left-hand side.

$5x + 16 = 5x + 2$

Step 3: Subtract $5x$ from both sides to eliminate the $x$ terms.

$16 = 2$

Conclusion:

The result $16 = 2$ is a contradiction, which means there is no solution to this equation. The equation is inconsistent.

Would you like further details or have any questions?

Here are five related questions that might interest you:

1. What does it mean for an equation to have no solution?
2. How can you identify an inconsistent equation before solving it?
3. What are the possible types of solutions for linear equations?
4. Can you have equations with infinitely many solutions?
5. How do you solve equations involving variables on both sides?

Tip: Always check if you have made a mistake by re-arranging terms or if you are dealing with a special type of equation, such as one that leads to a contradiction or identity.