https://file.aiquickdraw.com/mathbot/file/1728909394572p3mno6b7.jpg

The equation shown in the image is:

\[
24 + 4x - 6(2x - 5)
\]

Let's solve it step by step.

### Step 1: Distribute the \(-6\) to the terms inside the parentheses.
\[
24 + 4x - 6(2x - 5) = 24 + 4x - 6 \cdot 2x + 6 \cdot 5
\]
This simplifies to:
\[
24 + 4x - 12x + 30
\]

### Step 2: Combine like terms.
First, combine the constants \(24\) and \(30\):
\[
24 + 30 = 54
\]

Now, combine the terms with \(x\):
\[
4x - 12x = -8x
\]

So the equation becomes:
\[
54 - 8x
\]

This is the simplified expression: \(54 - 8x\).

Let me know if you'd like further details or have any other questions!

---

Here are 5 related questions:
1. How would you solve for \(x\) if the equation was set equal to 0?
2. What is the effect of distribution on terms inside parentheses?
3. Can you identify when to combine like terms in more complex expressions?
4. How would adding a variable to both sides affect the equation?
5. What are some common mistakes when simplifying expressions?

**Tip:** Always distribute negative signs carefully when working with parentheses, as they often lead to sign errors in the result.

Learn how to simplify the algebraic expression 24 + 4x - 6(2x - 5) using the distributive property and combining like terms. A step-by-step guide suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation