Understanding And Solving 3X + 4 = 2(2X + 1) Equation

Example 9 Solve the equation 2x + 1 = x 3 Chapter 4 Examples from www.teachoo.com

Introduction

As a professional teacher, it's my duty to explain and help you understand the mathematical concept of solving equations. In this article, I will be explaining the steps to solve the equation 3x + 4 = 2(2x + 1) in a relaxed English language.

What is an Equation?

An equation is a mathematical statement that shows the relationship between two expressions, usually with an equal sign. It is used to find the value of an unknown quantity.

Solving the Equation

To solve the equation 3x + 4 = 2(2x + 1), we need to get the value of x. We can do this by following some simple steps.

Step 1: Distribute the 2

The first step is to distribute the 2 outside the parentheses. This will give us the equation 3x + 4 = 4x + 2.

Step 2: Move the Variables to One Side

Next, we need to move all the variables to one side of the equation. To do this, we can subtract 3x from both sides of the equation. This gives us the equation 4 = x + 2.

Step 3: Isolate the Variable

Finally, we need to isolate the variable x by subtracting 2 from both sides of the equation. This gives us the value of x, which is x = 2.

Checking the Solution

To check if the solution we got is correct, we can substitute the value of x back into the original equation and see if it satisfies it. 3x + 4 = 2(2x + 1) 3(2) + 4 = 2(2(2) + 1) 6 + 4 = 2(5) 10 = 10 Since both sides of the equation are equal, we can say that x = 2 is the correct solution.

Conclusion

Solving equations is an essential part of mathematics. By following the steps mentioned above, we can easily solve any equation. It's essential to understand the concept and practice solving equations to master this skill.