Here’s an enhanced version of the content for improved clarity and readability, with appropriate formatting for mathematical expressions:

The equation representing the sum of the variable $x$ and the constant 5 is given by:

$x + 5$

In mathematics, an equation is a statement that indicates the equality of two expressions. When we refer to the sum of $x$ and 5, we are simply adding the variable $x$ to the fixed number 5. This relationship can be expressed as:

$x + 5$

In this equation, $x$ represents an unknown value that can vary, while 5 remains a constant.

To clarify this concept further, let’s analyze it in more detail. The variable $x$ can assume any numerical value. For instance, if $x$ is equal to 3, then the sum of $x$ and 5 would be:

$3 + 5 = 8$

Conversely, if $x$ were -2, the sum would be:

$-2 + 5 = 3$

Thus, the equation $x + 5$ serves as a general expression applicable to any value of $x$.

In GCSE Mathematics, mastering the formation and manipulation of equations is essential. Equations such as $x + 5$ form a foundational aspect of algebra, as they enable you to solve problems where the value of an unknown variable must be determined. For example, if you have the equation:

$x + 5 = 10$

you can isolate $x$ by subtracting 5 from both sides, resulting in:

$x = 10 - 5$

which simplifies to:

$x = 5$

Equations act as valuable tools for modeling real-world situations and systematically solving problems. By practicing with simple equations like $x + 5$, you develop the essential skills necessary to tackle more complex mathematical challenges.