2. \( -4 x+13=-x+1 \)

Let's solve this equation step-by-step! First, we can add \(4x\) to both sides to get rid of the \(x\) on the left side: \(-4x + 4x + 13 = -x + 4x + 1\) This simplifies to: \(13 = 3x + 1\) Next, we'll subtract 1 from both sides: \(13 - 1 = 3x + 1 - 1\) So, we have: \(12 = 3x\) Finally, divide both sides by 3: \(x = \frac{12}{3} = 4\) Therefore, the solution to the equation is \(x = 4\)! Now let’s jazz it up a bit! Solving equations like this can feel like a mystery waiting to be unraveled! It’s all about finding the 'x' that satisfies the balance, kind of like a magician keeping both sides of a scale perfectly even. Just remember, every time you make a move, do the same on both sides and you’ll uncover ‘x’ like a pro! Want to take your equation-solving game to the next level? Dive into some algebra textbooks or online courses that offer interactive solving techniques. Websites like Khan Academy or Coursera can be a great starting point for boosting your math skills and having fun while learning. Plus, once you master linear equations, you'll be ready to tackle quadratics and further adventures in the world of mathematics!