The equation you provided is:

\[ 2x + 7 = 2x + 7 \]

Let's analyze it step by step.

1. Subtract \( 2x \) from both sides of the equation:

\[
2x + 7 - 2x = 2x + 7 - 2x
\]

This simplifies to:

\[
7 = 7
\]

Since this statement is always true, it means that the original equation holds for all values of \( x \). Therefore, the solution is that **\( x \) can be any real number**. This type of equation is called an *identity* because it is true for all values of the variable.

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

Here are 5 related questions you might find interesting:
1. What is the difference between an identity and a contradiction in algebra?
2. How do you solve linear equations with one variable?
3. What happens when an equation simplifies to something like \( 0 = 5 \)?
4. Can you provide an example of a linear equation with no solution?
5. How do you solve an equation where variables appear on both sides?

**Tip:** When solving equations, always simplify and combine like terms on both sides to better understand the nature of the equation.

Explore the identity equation 2x + 7 = 2x + 7 and understand why it holds true for all real numbers x. This problem highlights key algebraic concepts and is suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation