Which of the following statements about the equation 2x−5=8+x is correct? Statement #1: There are two constants in the equation. Statement #2: x does not have a coefficient. Statement #3: There are two terms in the equation. (1 point) Statement # is correct.

Let's evaluate each statement about the equation \( 2x - 5 = 8 + x \):

**Statement #1: There are two constants in the equation.**
- In this equation, the constants are \(-5\) and \(8\). So, there are indeed two constants. This statement is **correct**.

**Statement #2: x does not have a coefficient.**
- In the equation, \(2x\) has a coefficient of \(2\) and \(x\) has a coefficient of \(1\) (implied). Therefore, this statement is **incorrect**.

**Statement #3: There are two terms in the equation.**
- The left side of the equation \(2x - 5\) has two terms: \(2x\) and \(-5\). The right side \(8 + x\) also has two terms: \(8\) and \(x\). However, if we consider the entire equation \( 2x - 5 = 8 + x \), it has four terms (two on each side). Given that "terms" is typically understood as "individual parts of the equation," this statement is **incorrect**.

In conclusion, the only correct statement is Statement #1. Therefore, the correct answer is **Statement #1 is correct**.