Solve the equation 5(*x* + 2) = 5*x* + 10 and determine whether it has one solution, no solution, or is an identity.

**Choices:**

A. an identity

B. one solution

C. not enough information given

D. no solution

**Correct Answer: A**

**Step 1:** 5(*x* + 2) = 5*x* + 10 [Given equation.]** **

**Step 2:** 5*x* + 10 = 5*x* + 10** **[Multiply 5 to remove the parenthesis.]

**Step 3:** 5*x* + 10 - 5*x* = 5*x* + 10 **- **5*x*** ** [Subtract 5*x* from each side.]

**Step 4:** 10 = 10 [Combine like terms.]

**Step 5:** 10 = 10 is always true. So, the given equation is an identity.