https://file.aiquickdraw.com/mathbot/file/1727305472924tj5el2zo.jpg

The equation extracted from the image is:

\[
-22 = -3x + (-8)
\]

Let's solve this step by step.

1. Simplify the equation:
\[
-22 = -3x - 8
\]

2. Add \(8\) to both sides to isolate the term with \(x\):
\[
-22 + 8 = -3x
\]
\[
-14 = -3x
\]

3. Divide both sides by \(-3\) to solve for \(x\):
\[
x = \frac{-14}{-3}
\]
\[
x = \frac{14}{3}
\]

So, the solution is:
\[
x = \frac{14}{3}
\]

Would you like more details or have any questions?

Here are some related questions:
1. What is the next step if the equation had a positive coefficient of \(x\)?
2. How would you check your solution for correctness?
3. What happens if you add or subtract the same number to both sides of an equation?
4. How can you solve this equation using graphing?
5. How do you interpret the meaning of fractions in algebra?

**Tip:** Always simplify parentheses first when solving equations; this makes the process easier!

Learn how to solve the linear equation -22 = -3x + (-8) with a detailed step-by-step solution. This problem involves key algebraic concepts such as isolating variables and solving for x, making it ideal for students in Grades 6-8.

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