https://file.aiquickdraw.com/mathbot/file/1728733302317skgmpa9n.jpg

The given equation is:

\[
4(11 - x) = 24
\]

Let's solve it step by step.

### Step 1: Distribute the 4 on the left-hand side
\[
4 \cdot 11 - 4 \cdot x = 24
\]
\[
44 - 4x = 24
\]

### Step 2: Subtract 44 from both sides to isolate the term with \( x \)
\[
-4x = 24 - 44
\]
\[
-4x = -20
\]

### Step 3: Divide both sides by -4 to solve for \( x \)
\[
x = \frac{-20}{-4}
\]
\[
x = 5
\]

### Final Answer:
\[
x = 5
\]

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you solve a system of equations involving distribution?
2. What happens if the distribution involves a negative coefficient?
3. How can we check if the solution to an equation is correct?
4. How do you solve for \(x\) if it appears on both sides of the equation?
5. What steps are needed to solve an equation involving fractions?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality!

Learn how to solve the linear equation 4(11 - x) = 24 step by step. This problem covers basic algebra concepts like distribution and solving for x, making it 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