We are given the equation:

\[
-12x + 2 = -9x + 5
\]

### Step 1: Move all terms involving \(x\) to one side.
Add \(12x\) to both sides to get rid of \(-12x\) on the left-hand side:

\[
2 = 3x + 5
\]

### Step 2: Move constant terms to the other side.
Subtract 5 from both sides to get rid of the 5 on the right-hand side:

\[
2 - 5 = 3x
\]

\[
-3 = 3x
\]

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

\[
x = \frac{-3}{3}
\]

\[
x = -1
\]

### Final Answer: 
The solution is \(x = -1\).

Would you like more details or have any questions?

Here are 5 related questions you might find useful:
1. How do you solve equations involving fractions?
2. What happens when both sides have the same coefficient for \(x\)?
3. How can we solve quadratic equations?
4. How do you graph linear equations?
5. What is the difference between solving linear and quadratic equations?

**Tip:** Always check your answer by substituting it back into the original equation!

Learn how to solve the linear equation −12x + 2 = −9x + 5 with a detailed step-by-step solution. This algebra problem covers key concepts, including moving terms and solving for variables. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation