***Simplify*: 4x + 6 - 5x + 2(x+ 3 - 2)**


Let's simplify the expression step by step:

\[
4x + 6 - 5x + 2(x + 3 - 2)
\]

1. Start by simplifying inside the parentheses:
\[
x + 3 - 2 = x + 1
\]
So, the expression becomes:
\[
4x + 6 - 5x + 2(x + 1)
\]

2. Distribute the \(2\) to both terms inside the parentheses:
\[
4x + 6 - 5x + 2x + 2
\]

3. Combine like terms:
   - Combine \(4x - 5x + 2x = x\)
   - Combine \(6 + 2 = 8\)

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

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you distribute when there are variables inside parentheses?
2. How do you combine like terms in more complex expressions?
3. What happens if there is a negative sign in front of the parentheses?
4. Can you simplify \(3x + 4 - 2x + 5(2x - 1)\)?
5. How would the process change if the expression had exponents?

**Tip:** Always simplify inside parentheses first before distributing any numbers.

Learn how to simplify the algebraic expression 4x + 6 - 5x + 2(x + 3 - 2) with step-by-step instructions. This problem covers algebraic concepts such as the distributive property and combining like terms. 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