To solve the equation \( 3x - 5 = 2x + 6 \), follow these steps:

1. **Subtract \( 2x \) from both sides:**
   \[
   3x - 2x - 5 = 6
   \]
   Simplifying this gives:
   \[
   x - 5 = 6
   \]

2. **Add 5 to both sides:**
   \[
   x - 5 + 5 = 6 + 5
   \]
   Simplifying this gives:
   \[
   x = 11
   \]

So, the solution is \( x = 11 \).

Would you like further clarification, or do you have any other questions? Here are five related questions:

1. How would you solve \( 4x - 7 = 3x + 9 \)?
2. What happens if you add a constant to both sides of an equation?
3. How would the equation change if it were \( 3x - 5 = 2x - 6 \)?
4. Can you solve \( 5x - 3 = 7x + 4 \) and compare the process?
5. How can you check if your solution for \( x \) is correct?

**Tip:** When solving equations, always try to isolate the variable by performing the same operations on both sides.

Learn how to solve the linear equation 3x − 5 = 2x + 6 with a step-by-step solution. This algebra problem focuses on simplifying and solving linear equations, ideal 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