https://file.aiquickdraw.com/mathbot/file/172720533834727ozxagl.jpg

Let's solve the given expression: 

\[
6(x + 3) - 10 + 2x
\]

### Step 1: Distribute the 6 across the parentheses.
\[
6(x + 3) = 6x + 18
\]

So now the expression becomes:
\[
6x + 18 - 10 + 2x
\]

### Step 2: Combine like terms.
- Combine the \(x\)-terms: \(6x + 2x = 8x\)
- Combine the constants: \(18 - 10 = 8\)

Thus, the simplified expression is:
\[
8x + 8
\]

The correct answer is **A: 8x + 8**.

Would you like more details or have any questions?

Here are some related questions:
1. How do you distribute in algebraic expressions?
2. How do you combine like terms?
3. What is the difference between constants and variables?
4. How would the solution change if the constant was different?
5. How do you simplify expressions with more complex coefficients?

**Tip:** When distributing, always multiply each term inside the parentheses by the factor outside before combining like terms.

Distribute and combine 6(x + 3) - 10 + 2x

Learn how to simplify the algebraic expression 6(x + 3) - 10 + 2x by distributing and combining like terms. This problem involves applying the distributive property and simplifying terms, perfect 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