Unveiling the Math Mystery: Solving the Equation of Twice a Number Plus 13 Equals 75

Unveiling the Math Mystery: Solving the Equation of Twice a Number Plus 13 Equals 75

In this comprehensive guide, we will dive into the intriguing world of solving mathematical equations, specifically focusing on the equation of twice a number plus 13 equals 75. We will unravel the mysteries behind this equation and equip you with the necessary skills to solve it with ease. Whether you are a math enthusiast or someone looking to brush up on your solving skills, this guide is tailored for you.

Understanding the Equation

Before we delve into solving the equation of twice a number plus 13 equals 75, let’s break it down into simpler terms. The equation can be represented as:

2x + 13 = 75

In this equation, "2x" represents twice a number, "13" represents the constant term, and "75" represents the total sum. Our goal is to find the value of "x" that satisfies this equation.

Solving Step by Step

To solve the equation 2x + 13 = 75, we will follow a systematic approach to isolate the variable "x" on one side of the equation.

  1. Subtract 13 from both sides:

    2x + 13 – 13 = 75 – 13

    2x = 62

  2. Divide by 2 on both sides:

    2x / 2 = 62 / 2

    x = 31

By following these steps, we have successfully solved the equation, and the value of the unknown variable "x" is 31.

FAQs

Q1: What is the first step to solve the equation 2x + 13 = 75?

A: The first step is to subtract 13 from both sides of the equation.

Q2: How do you isolate the variable "x" in the equation 2x + 13 = 75?

A: By following the steps of subtracting 13 and then dividing by 2, you can isolate the variable "x."

Q3: What is the value of the variable "x" in the equation 2x + 13 = 75?

A: The value of "x" is 31 in the equation.

Q4: Can this method be applied to other similar equations?

A: Yes, the same method of subtraction and division can be applied to solve equations with similar structures.

Q5: How can I practice more equations like this one?

A: Practice makes perfect! Try solving various equations involving different constants and variables to sharpen your skills.

Conclusion

In conclusion, the equation of twice a number plus 13 equals 75 may seem daunting at first glance, but with the right approach and methodology, it can be easily solved. By breaking down the steps and understanding the logic behind solving such equations, you can tackle any mathematical challenge with confidence. Remember to practice regularly and stay curious about the world of math. Happy solving!