https://file.aiquickdraw.com/mathbot/file/1726689197553e2r7dpq8.jpg

Let's solve the equation given in the image:

\[
5(2x - 5) - 4x - 4 = -11
\]

### Step 1: Distribute the 5
\[
5 \cdot 2x = 10x
\]
\[
5 \cdot (-5) = -25
\]
Now the equation becomes:
\[
10x - 25 - 4x - 4 = -11
\]

### Step 2: Combine like terms
\[
(10x - 4x) = 6x
\]
\[
(-25 - 4) = -29
\]
This simplifies the equation to:
\[
6x - 29 = -11
\]

### Step 3: Add 29 to both sides
\[
6x - 29 + 29 = -11 + 29
\]
\[
6x = 18
\]

### Step 4: Divide both sides by 6
\[
x = \frac{18}{6} = 3
\]

### Solution:
\[
x = 3
\]

Would you like more details on any step, or have any questions?

---

Here are 5 related questions you might find useful:
1. How do you solve an equation involving parentheses and distribution?
2. What happens when you combine like terms in an equation?
3. How do you handle negative numbers when solving linear equations?
4. What is the process for solving two-step equations?
5. How can you check if your solution to an equation is correct?

**Tip:** Always double-check your steps, especially when distributing or combining like terms, to avoid simple mistakes.

Learn how to solve a linear equation with distributive property. The equation 5(2x - 5) - 4x - 4 = -11 covers key algebraic concepts such as the distributive property and combining like terms. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation