To solve the equation \(8x + 48 = 2x - 16\), follow these steps:

1. **Move all the terms with \(x\) to one side** and constant terms to the other:
   \[
   8x - 2x = -16 - 48
   \]
   Simplifying both sides:
   \[
   6x = -64
   \]

2. **Solve for \(x\)** by dividing both sides by 6:
   \[
   x = \frac{-64}{6} = \frac{-32}{3}
   \]

Thus, the solution is \(x = \frac{-32}{3}\).

Would you like more details on any part of this solution?

Here are five related questions:
1. How would you solve an equation if it had fractions?
2. What steps are involved in solving quadratic equations?
3. How do you handle equations with variables on both sides?
4. Can equations have no solution? How do you identify them?
5. What is the difference between solving linear and quadratic equations?

**Tip:** Always simplify equations step by step to avoid mistakes.

Learn how to solve the linear equation 8x + 48 = 2x - 16 step by step. This solution involves simplifying both sides and using the properties of equality to solve for x. Ideal for students in Grades 6-8, this problem covers basic linear equations and theorems.

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