Let's solve the equation step by step:

Given equation:

\[
4(-2x \cdot -1) = -12x + 9
\]

1. **Simplify** inside the parentheses. Notice that \(-2x \cdot -1\) simplifies to \(2x\):

\[
4(2x) = -12x + 9
\]

2. **Distribute** the 4:

\[
8x = -12x + 9
\]

3. **Move** all the \(x\) terms to one side by adding \(12x\) to both sides:

\[
8x + 12x = 9
\]

\[
20x = 9
\]

4. **Solve** for \(x\) by dividing both sides by 20:

\[
x = \frac{9}{20}
\]

So, the solution is:

\[
x = \frac{9}{20}
\]

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

Here are 5 related questions to practice:

1. Solve the equation: \(3(-4x \cdot 2) = 6x - 12\)
2. Simplify and solve: \(5(-3x \cdot -2) = 15x + 10\)
3. What is the value of \(x\) in \(6(-x \cdot -3) = -18x + 9\)?
4. Solve the equation: \(7(2x \cdot -1) = -14x + 21\)
5. If \(4(-x \cdot -2) = 8x - 5\), what is the value of \(x\)?

**Tip:** Be cautious when multiplying and distributing negative signs, as they can change the sign of the entire expression.

Learn how to solve the equation 4(-2x * -1) = -12x + 9 with a detailed step-by-step solution. This problem involves equations and the distributive property, suitable for Grades 7-9 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation