Let's solve the equation step by step:

Given equation:

\[
-2(3x - 5) - 2x - 2 = -40
\]

1. **Distribute** the \(-2\) to the terms inside the parentheses:

\[
-2 \cdot 3x + (-2) \cdot (-5) - 2x - 2 = -40
\]

This simplifies to:

\[
-6x + 10 - 2x - 2 = -40
\]

2. **Combine like terms** on the left side:

\[
-6x - 2x + 10 - 2 = -40
\]

This simplifies further to:

\[
-8x + 8 = -40
\]

3. **Isolate** the variable term by subtracting 8 from both sides:

\[
-8x = -40 - 8
\]

\[
-8x = -48
\]

4. **Solve** for \(x\) by dividing both sides by \(-8\):

\[
x = \frac{-48}{-8}
\]

\[
x = 6
\]

So, the solution is:

\[
x = 6
\]

Would you like more details, or do you have any questions?

Here are 5 related questions to practice:

1. Solve the equation: \(-3(4x + 2) + 5x = 13\)
2. Simplify and solve: \(4(2x - 3) - 7 = 5x + 2\)
3. What is the value of \(x\) in \(7x - 2(3x - 4) = 5x + 10\)?
4. Solve the equation: \(2x + 3(2 - x) = x - 6\)
5. If \(3x - 2 = 4x + 7\), what is the value of \(x\)?

**Tip:** Always combine like terms and simplify the equation before isolating the variable.

Learn how to solve the equation -2(3x - 5) - 2x - 2 = -40 with a detailed step-by-step solution. This problem covers key algebraic concepts such as equations, distributive property, and combining like terms. Suitable for students in Grades 7-9.

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