https://file.aiquickdraw.com/mathbot/file/17260845649121uachaq5.jpg

The equation given in the image is:

\[
2(x - 3) = -4
\]

Let's solve it step by step:

1. **Distribute the 2** to the terms inside the parentheses:

\[
2 \cdot (x - 3) = 2x - 6
\]

So the equation becomes:

\[
2x - 6 = -4
\]

2. **Add 6 to both sides** of the equation to isolate the term with \(x\):

\[
2x - 6 + 6 = -4 + 6
\]

Simplifying:

\[
2x = 2
\]

3. **Divide both sides** by 2 to solve for \(x\):

\[
\frac{2x}{2} = \frac{2}{2}
\]

This simplifies to:

\[
x = 1
\]

So, the solution to the equation is:

\[
x = 1
\]

Would you like more details, or do you have any questions? Here are some related questions to consider:

1. How can you check if the solution to an equation is correct?
2. What is the general approach to solving linear equations?
3. How does the distributive property work in algebra?
4. Why do we isolate the variable when solving equations?
5. What happens if there is no solution to a given equation?

**Tip:** Always verify your solution by substituting the value of the variable back into the original equation.

Learn how to solve the linear equation 2(x - 3) = -4 with a detailed step-by-step solution. This problem covers key algebra concepts, such as the distributive property and basic algebraic operations. Suitable for students in Grades 6-8.

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