To solve the equation \(-3x + 4 = -8x - 26\), follow these steps:

### Step 1: Get all the terms involving \(x\) on one side.
Add \(8x\) to both sides:

\[
-3x + 8x + 4 = -8x + 8x - 26
\]

This simplifies to:

\[
5x + 4 = -26
\]

### Step 2: Get the constant terms on the other side.
Subtract 4 from both sides:

\[
5x = -26 - 4
\]

Simplifying this:

\[
5x = -30
\]

### Step 3: Solve for \(x\).
Divide both sides by 5:

\[
x = \frac{-30}{5} = -6
\]

### Final Answer:
\[
x = -6
\]

Would you like further details or clarification on any steps?

Here are 5 related questions to consider:
1. How do you check if the solution to the equation is correct?
2. What would change if the equation was \(-3x - 4 = -8x + 26\)?
3. Can you express this equation as a function and graph it?
4. How does solving this linear equation differ from solving quadratic equations?
5. What are some real-world applications of solving equations like this?

**Tip:** Always double-check your solution by substituting the value of \(x\) back into the original equation!

Learn how to solve the linear equation −3x + 4 = −8x − 26 with a detailed step-by-step solution. This guide covers key algebraic concepts, such as equation manipulation and the properties of equality. Suitable for students in Grades 6-8.

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