To solve the equation \(20 - 7x = 6x - 6\), we want to find the value of \(x\). Here's how we can solve it step-by-step:

1. **Combine like terms**: Move all the \(x\) terms to one side of the equation and the constant terms to the other side.
   
   \[
   20 - 7x = 6x - 6
   \]

   Add \(7x\) to both sides:

   \[
   20 = 6x + 7x - 6
   \]

   Simplify the \(x\) terms on the right side:

   \[
   20 = 13x - 6
   \]

   Add 6 to both sides to move the constants together:

   \[
   20 + 6 = 13x
   \]

   \[
   26 = 13x
   \]

2. **Solve for \(x\)**: Divide both sides of the equation by 13 to isolate \(x\).

   \[
   x = \frac{26}{13}
   \]

   \[
   x = 2
   \]

So, the solution to the equation \(20 - 7x = 6x - 6\) is **\(x = 2\)**.

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

### Related Questions:
1. How do you solve equations involving fractions?
2. What is the process for solving quadratic equations?
3. How do you isolate a variable in an equation with multiple variables?
4. How can you check if your solution to an equation is correct?
5. What are the different methods for solving systems of linear equations?

### Tip:
When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the equation 20 - 7x = 6x - 6 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and combining like terms. Suitable for students in Grades 7-9.

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