Let's solve the equation:

\[
2 - 7x = 4x - 20
\]

### Step 1: Combine like terms
First, move all terms involving \(x\) to one side of the equation and constants to the other side.

Add \(7x\) to both sides:

\[
2 = 11x - 20
\]

### Step 2: Isolate the variable \(x\)
Next, add 20 to both sides:

\[
22 = 11x
\]

### Step 3: Solve for \(x\)
Now, divide both sides by 11:

\[
x = 2
\]

### Final Answer: 
\[
x = 2
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve equations with fractions?
2. What happens when variables appear on both sides?
3. Can you solve for \(x\) in the equation \(3x - 5 = 2x + 4\)?
4. How do you handle inequalities with similar terms?
5. What is the next step if no solution exists?

**Tip**: Always check your solution by substituting it back into the original equation to verify it!

Learn how to solve the linear equation 2 - 7x = 4x - 20 with a detailed, step-by-step solution. This guide covers key algebraic concepts, including transposing terms and isolating variables. Suitable for students in Grades 6-8.

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