https://file.aiquickdraw.com/mathbot/file/1726698608406qa2ygmuf.jpg

The equation shown in the image is:

\[
-8 = -(x + 4)
\]

Let's solve it step by step:

### Step 1: Eliminate the negative sign on the right-hand side
Distribute the negative sign over the terms inside the parentheses:

\[
-8 = -x - 4
\]

### Step 2: Isolate the variable \(x\)
To do this, add 4 to both sides of the equation:

\[
-8 + 4 = -x
\]

\[
-4 = -x
\]

### Step 3: Solve for \(x\)
Multiply both sides by \(-1\) to get rid of the negative sign:

\[
x = 4
\]

Thus, the solution to the equation is:

\[
x = 4
\]

Would you like more details or have any questions about this solution?

Here are 5 related questions for practice:
1. Solve \( -5 = -(x + 3) \).
2. What happens if we change the equation to \( -8 = (x + 4) \)?
3. How do you solve \( -10 = -(x - 6) \)?
4. Can you solve \( -12 = -(2x + 8) \) and find \(x\)?
5. How would you solve \( 5 = -(3x + 1) \)?

**Tip:** When solving equations with parentheses, always distribute any negative signs or coefficients outside the parentheses before solving for the variable.

Learn how to solve the linear equation -8 = -(x + 4) step-by-step. This problem covers important algebraic concepts like the distributive property and solving basic linear equations. 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