https://file.aiquickdraw.com/mathbot/file/1726198828430p37wzdkb.jpg

The equation in the image is:

\[
-26 = -2(3x - 8)
\]

Let's solve for \(x\).

### Step 1: Distribute the \(-2\) on the right-hand side.

\[
-26 = -2 \cdot 3x + (-2) \cdot (-8)
\]
\[
-26 = -6x + 16
\]

### Step 2: Subtract 16 from both sides to isolate the term with \(x\).

\[
-26 - 16 = -6x
\]
\[
-42 = -6x
\]

### Step 3: Divide both sides by \(-6\) to solve for \(x\).

\[
x = \frac{-42}{-6}
\]
\[
x = 7
\]

So, the solution is \(x = 7\).

Would you like more details or have any questions?

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Here are 5 related questions:
1. What happens if the coefficient of \(x\) was positive instead of negative?
2. How can you check the solution to an equation after solving it?
3. What is the importance of distributing correctly when solving equations?
4. How do you handle equations with variables on both sides?
5. Can you solve for \(x\) if there are fractions in the equation?

**Tip:** Always double-check your distribution steps when solving equations to avoid common mistakes!

Learn how to solve the linear equation -26 = -2(3x - 8) step by step. This problem involves algebraic manipulation, including distribution and isolating variables. Suitable for Grades 7-10 students, the solution includes the use of the distributive property and solving for x.

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