Let's simplify the equation step by step:

The given equation is:
\[
2x + 5 + 5x - 6 + 3x - 8 = 180
\]

### Step 1: Combine like terms

- Combine all the \(x\)-terms:
\[
2x + 5x + 3x = 10x
\]

- Combine the constants:
\[
5 - 6 - 8 = -9
\]

Now the equation becomes:
\[
10x - 9 = 180
\]

### Step 2: Solve for \(x\)

- Add 9 to both sides to isolate the \(x\)-terms:
\[
10x = 180 + 9
\]
\[
10x = 189
\]

- Divide both sides by 10:
\[
x = \frac{189}{10} = 18.9
\]

Thus, the solution is:
\[
x = 18.9
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the process of isolating the variable in an equation?
2. How do you combine like terms in algebraic expressions?
3. What are the steps to check your solution after solving an equation?
4. What happens when you have variables on both sides of an equation?
5. How would the solution change if the constants on the right side were negative?

**Tip:** Always double-check your combined terms to avoid small mistakes when simplifying equations!

Learn how to solve the linear equation 2x + 5 + 5x - 6 + 3x - 8 = 180 by combining like terms and isolating the variable x. This step-by-step guide is suitable for students in Grades 8-10 and covers key algebraic techniques.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation