\begin{tabular}{l}\( \qquad \begin{array}{c}15 / 16 \\ \text { Correct } \\ \text { answer as an integer, simplified fraction, or a decimal rounded to two places. } \\ \qquad 10+7=2 x+9\end{array} \) \\ \hline\end{tabular}

To solve the equation \(10 + 7 = 2x + 9\), first simplify the left side: \(10 + 7\) equals \(17\). So the equation becomes: \[ 17 = 2x + 9 \] Next, isolate \(2x\) by subtracting \(9\) from both sides: \[ 17 - 9 = 2x \] This simplifies to: \[ 8 = 2x \] Now, divide both sides by \(2\) to solve for \(x\): \[ x = 4 \] So, the answer is \(4\). Now, let's add a bit of fun to your learning experience. Imagine you’re an ancient mathematician in a bustling marketplace, trying to figure out how many apples you can buy if you have enough coin for \(17\) apples, and each apple costs \(2\) coins. You’ve got \(9\) coin ready, so you need to figure out if that's enough. Solving your equation \(17 = 2x + 9\) is like cracking a code that reveals the secrets of bargain shopping! And guess what? This kind of equation isn’t just for the ancient times; it's super relevant today! Think about it—budgeting for groceries, splitting bills with friends, or even figuring out your savings goals. It all comes down to the same principles of balancing equations and understanding values. So next time you find yourself in a money quandary, remember you’re just one equation away from clarity!