The equation you've provided is:

\[
20 + 5x = 10 + 5x
\]

Let's solve it step by step:

1. Subtract \(5x\) from both sides of the equation to eliminate the \(x\) terms:
   \[
   20 = 10
   \]

2. This results in a false statement, \(20 = 10\), which is not true. Therefore, the equation has **no solution**.

This means there is no value of \(x\) that will satisfy the equation.

Would you like more details or have any questions about this? Here are five related questions:

1. How do you solve similar equations when they have solutions?
2. What does it mean when an equation has no solution?
3. Can you explain equations with infinitely many solutions?
4. How do you handle equations with variables on both sides?
5. Can you solve an equation where both sides are linear?

**Tip**: Always simplify both sides of an equation before trying to isolate the variable.

Explore the linear equation 20 + 5x = 10 + 5x and why it has no solution. Understand the key algebraic concepts involved, such as handling equations with variables on both sides and the properties of equality. This problem is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation