The statement “the difference of 3x and twice x is 107” presents an intriguing algebraic challenge that we will explore in this discussion. By defining the variables involved and constructing an algebraic equation, we will embark on a journey to find the solution to this mathematical puzzle.

This exploration will not only provide a step-by-step solution to the given statement but also shed light on the significance of the solution and its potential applications in real-world scenarios.

The Difference of 3x and Twice x is 107

In this article, we will explore the algebraic equation that arises from the given statement and solve it to find the value of x. We will also discuss the significance of the solution and provide real-world examples where this concept can be applied.

Algebraic Equation, The difference of 3x and twice x is 107

The given statement can be expressed as the following algebraic equation:

• x
• 2x = 107

Simplifying the equation, we get:

x = 107

Solution

Solving the equation, we find that the value of x is 107. To check our solution, we can plug it back into the original statement:

• (107)
• 2(107) = 107

Since both sides of the equation are equal, our solution is correct.

Explanation

The given statement represents a linear equation in one variable, x. To solve the equation, we isolated the variable on one side of the equation and the constant on the other side. The solution, x = 107, represents the value of x that satisfies the equation.

Applications

This concept can be applied to solve a variety of real-world problems. For example, it can be used to find the length of a side of a rectangle given its perimeter and area, or to find the speed of an object given its distance and time of travel.

Question Bank

What is the given statement?

The given statement is “the difference of 3x and twice x is 107.”

What does x represent in the statement?

x represents an unknown numerical value.

How do you solve the algebraic equation derived from the statement?

To solve the algebraic equation, you can simplify it, isolate the variable term, and solve for x.