To solve the equation \(3x - 6 = 5x + 6\), follow these steps:

1. **Move all terms involving \(x\) to one side:**

   Subtract \(3x\) from both sides:
   \[
   -6 = 2x + 6
   \]

2. **Move constant terms to the other side:**

   Subtract 6 from both sides:
   \[
   -12 = 2x
   \]

3. **Solve for \(x\):**

   Divide both sides by 2:
   \[
   x = -6
   \]

So, the solution is \(x = -6\).

Would you like more details or have any questions?

Here are some related questions:

1. How do you check if \(x = -6\) is a solution to the original equation?
2. What happens if you substitute \(x = -6\) back into the original equation?
3. How would the solution change if the equation was \(3x - 6 = 5x - 6\)?
4. Can you solve a similar equation, \(4x - 8 = 6x + 4\)?
5. What is the general approach to solving linear equations with variables on both sides?

**Tip:** Always simplify both sides of the equation as much as possible before solving for the variable.

Learn how to solve the equation 3x - 6 = 5x + 6 with a detailed step-by-step solution. This problem involves solving linear equations by isolating the variable and performing operations on both sides. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation