\begin{tabular}{l} Which value of \( x \) is a solution of the equation \( 2 x=x+5 \) ? \\ \hline 0 2 \end{tabular}

To solve the equation \( 2x = x + 5 \), we want to isolate \( x \). We can start by subtracting \( x \) from both sides: \( 2x - x = 5 \) which simplifies to \( x = 5 \). Thus, the solution is not listed among the options (0 or 2)—the correct answer is \( x = 5 \). In a multitude of real-world contexts, equations like this pop up! For instance, if you're calculating the amount of money you earn when you work hours at a fixed rate, the equation can represent your pay compared to your expenses. This shows how equations translate into everyday decisions involving finances, time management, and resource allocation. It's important to watch out for common mistakes when working with equations! One common error is forgetting to apply operations evenly across the equation—such as forgetting to subtract or add what's necessary to both sides. Always double-check your steps, and remember that maintaining balance is key to successfully solving equations!