Solving Equations: How to Solve an Equation like 7x 25 9

Understanding and solving equations is a fundamental skill in mathematics. One such equation is 7x 25 9. In this article, we'll break down the process step by step to solve this equation and explain the reasoning behind each step. By the end, you will have a clear understanding of how to solve this type of algebraic equation.

Understanding the Equation

Let's start with the equation: 7x 25 9. Here, 'x' is the unknown variable we need to solve for. The goal is to isolate 'x' on one side of the equation. This is achieved by performing the same mathematical operations on both sides of the equation to maintain its balance.

Step-by-Step Solution

To solve the equation 7x 25 9, we will follow a systematic approach:

Subtract 25 from each side: This step involves performing the same operation (subtraction) on both sides of the equation to keep it balanced. Mathematically, this looks like:

7x 25 - 25 9 - 25

After simplification, we get:

7x -16

Divide both sides by 7: Next, we isolate 'x' by dividing both sides by the coefficient of 'x', which is 7. This operation can be represented as:

7x / 7 -16 / 7

Simplifying this further, we get:

x -16/7

Breaking Down the Solution

Step 1: Subtracting 25 from both sides:

7x 25 - 25 9 - 25

This step is crucial because it helps to isolate the term that contains the variable 'x'. By subtracting 25 from both sides, we are essentially moving the constant term from the left-hand side to the right-hand side of the equation.

Step 2: Dividing both sides by 7:

7x / 7 -16 / 7

This step simplifies the equation further by isolating the variable 'x'. The division of both sides by 7 leaves 'x' alone, giving us the exact value we need. The result is x -16/7.

Conclusion

Solving the equation 7x 25 9 involves a series of algebraic operations. By following these steps, we are able to determine that x -16/7. Understanding these algebraic techniques is crucial not only for academic purposes but also for practical applications, such as becoming a computer programmer. Basic algebraic skills are the building blocks for more advanced computer science concepts.

If you found this explanation helpful, you might also enjoy learning about other types of algebraic equations and their solutions. Whether you are a student, a teacher, or simply someone interested in improving your mathematical skills, mastering algebra is a worthwhile pursuit.