To solve the equation \(2x + 1 = 5\), we’ll isolate \(x\) by performing the following steps:

### Step-by-Step Solution:
1. **Subtract 1 from both sides**:
   \[
   2x + 1 - 1 = 5 - 1
   \]
   \[
   2x = 4
   \]

2. **Divide both sides by 2**:
   \[
   \frac{2x}{2} = \frac{4}{2}
   \]
   \[
   x = 2
   \]

### Final Answer:
\[
x = 2
\]

Would you like further details or have any questions about this solution?

Here are some related questions to explore:
1. How would you solve \(3x + 2 = 11\)?
2. What steps would change if we had \(2x - 1 = 5\) instead?
3. How can you check the solution to an equation like this?
4. What if the equation was \(2x + 1 = 0\); what would \(x\) be?
5. How does adding a constant term affect solving a linear equation?

**Tip:** When solving linear equations, aim to isolate the variable step-by-step using inverse operations (addition/subtraction, multiplication/division).

Learn how to solve the linear equation 2x + 1 = 5 with a step-by-step solution. This guide covers essential algebra concepts for isolating variables and using inverse operations, suitable for 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