SAT Question feb78194: Linear Equations In One Variable answer and explanation with Desmos solution

It's given that the museum earns revenue of $$14$ for each tablet rented for the day. It's also given that on Wednesday, the museum earned $$406$ in profit from renting tablets after paying daily expenses of $$112$. Let $x$ represent the number of tablets the museum rented on Wednesday. It follows that the total revenue can be represented by the expression $14x$. Because $\text{profit}=\text{total revenue}-\text{total expenses}$, the equation $406=14x-112$ represents this situation. Adding $112$ to both sides of this equation yields $14x=518$. Dividing both sides of this equation by $14$ yields $x=37$. Therefore, the museum rented $37$ tablets on Wednesday.