To solve the equation \(2x - 5 = 17\), follow these steps:

1. **Add 5 to both sides** to eliminate the constant term on the left-hand side:
   \[
   2x - 5 + 5 = 17 + 5
   \]
   This simplifies to:
   \[
   2x = 22
   \]

2. **Divide both sides by 2** to solve for \(x\):
   \[
   \frac{2x}{2} = \frac{22}{2}
   \]
   This simplifies to:
   \[
   x = 11
   \]

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

Would you like more details or have any questions?

Here are some related questions to expand your understanding:

1. What is the general approach to solving linear equations?
2. How can you check if your solution to a linear equation is correct?
3. What are some common mistakes to avoid when solving linear equations?
4. Can you provide an example of a linear equation with a negative solution?
5. How would you solve \(3x + 4 = 19\)?
6. What happens if you have an equation like \(2x - 5 = 2x + 3\)?
7. How would you handle a linear equation with fractions, such as \(\frac{1}{2}x - \frac{1}{3} = 2\)?
8. Can you explain how to solve a linear equation with variables on both sides, like \(3x - 5 = x + 9\)?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the equation 2x - 5 = 17 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and addition/subtraction of variables. 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