Results for "5x-4=21"

The equation 5x - 4 = 21 is a linear equation that can be solved for the variable x.

Introduction

Solving equations is a fundamental skill in mathematics, and the equation 5x - 4 = 21 is a great example to illustrate this concept. To find the value of x, we need to isolate it on one side of the equation. First, we can add 4 to both sides, giving us 5x = 25. Next, we divide both sides by 5, resulting in x = 5. This solution shows that when the variable x equals 5, the equation holds true. Understanding how to manipulate equations like this is essential not only in academic settings but also in real-life applications, such as budgeting and planning. Whether you're a student or just someone looking to brush up on your math skills, mastering these techniques can greatly enhance your problem-solving abilities. Remember, practice is key! Here are some tips for solving linear equations:
  • Always perform the same operation on both sides of the equation.
  • Keep track of your steps to avoid mistakes.
  • Check your solution by substituting it back into the original equation.
With consistent practice, you'll find that solving equations becomes easier and more intuitive.

FAQs

How can I solve the equation 5x - 4 = 21?

To solve the equation, add 4 to both sides to get 5x = 25, then divide both sides by 5 to find x = 5.

What does it mean to isolate a variable in an equation?

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Are there different methods to solve linear equations?

Yes, common methods include graphing, substitution, and using the distributive property to simplify.

What should I do if I get a negative number when solving for x?

A negative solution is valid; it simply means that the variable can take on negative values in certain equations.

How can I check if my solution is correct?

Substitute your solution back into the original equation to see if both sides are equal.