To solve the equation \( 7x - 4 = 2x + 16 \), follow these steps:

1. **Move the terms involving \(x\)** to one side by subtracting \(2x\) from both sides:
   \[
   7x - 2x - 4 = 16
   \]
   Simplifying, we get:
   \[
   5x - 4 = 16
   \]

2. **Move the constant term** to the other side by adding 4 to both sides:
   \[
   5x - 4 + 4 = 16 + 4
   \]
   Simplifying, we get:
   \[
   5x = 20
   \]

3. **Solve for \(x\)** by dividing both sides by 5:
   \[
   x = \frac{20}{5} = 4
   \]

So, the solution is \( x = 4 \).

Would you like more details or have any other questions?

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Here are 5 related questions:

1. How do you solve the equation \(5x + 3 = 2x - 9\)?
2. What happens if both sides of the equation have the same coefficient for \(x\)?
3. How can you check if your solution to an equation is correct?
4. What are some common mistakes to avoid when solving linear equations?
5. Can you explain the process of solving equations with variables on both sides?

**Tip:** Always check your solution by substituting it back into the original equation to ensure both sides are equal.

Learn how to solve the linear equation 7x - 4 = 2x + 16 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations and equation simplification. Suitable for students in Grades 7-9.

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