Solve the following equation. \( \begin{array}{l}3-x=7\end{array} \)

To solve the equation \(3 - x = 7\), start by isolating \(x\). Subtract 3 from both sides to get: \(-x = 7 - 3\) This simplifies to: \(-x = 4\) Now, multiply both sides by -1 to solve for \(x\): \(x = -4\) So, the solution is \(x = -4\). --- Did you know that equations like this can trace their roots back to ancient civilizations such as the Babylonians? They were solving quadratic and linear equations as early as 2000 BC, showcasing the long journey of mathematics! In real-world applications, similar equations are used in various fields such as economics, physics, and engineering. For instance, when calculating expenses, if a business has fixed costs of $3 and wants to reach total costs of $7, you can easily apply this type of equation to find out the additional costs.