Round #556

Find x: 5 times the quantity x minus 3 equals 20

To solve for x, we need to translate the given equation into a mathematical expression and then solve for x. The equation is: 5 times the quantity x minus 3 equals 20 This can be written as: 5(x - 3) = 20 To solve for x, we need to follow the order of operations (PEMDAS): 1. Distribute the 5 to the terms inside the parentheses: 5x - 15 = 20 2. Add 15 to both sides of the equation to isolate the term with x: 5x - 15 + 15 = 20 + 15 5x = 35 3. Divide both sides of the equation by 5 to solve for x: 5x / 5 = 35 / 5 x = 7 Therefore, the value of x is 7.

To solve the equation "5 times the quantity x minus 3 equals 20", we can follow these steps: ```csharp using System; class Program { static void Main() { // Define the equation: 5(x - 3) = 20 // Solve for x double x = SolveEquation(); Console.WriteLine("The value of x is: " + x); } static double SolveEquation() { // Distribute the 5 to the terms inside the parentheses // 5x - 15 = 20 // Add 15 to both sides of the equation // 5x = 20 + 15 // 5x = 35 // Divide both sides of the equation by 5 // x = 35 / 5 return 35.0 / 5.0; } } ``` This C# program defines a method `SolveEquation` that solves the given equation. The equation is solved by first distributing the 5 to the terms inside the parentheses, then adding 15 to both sides, and finally dividing both sides by 5. The result is then printed to the console. When you run this program, it will output: `The value of x is: 7`. This means that the value of x that satisfies the equation "5 times the quantity x minus 3 equals 20" is 7.