What does an equation signify in mathematics?

In mathematics, an equation signifies that two expressions on either side of the equals sign are equivalent. This means that they represent the same value or quantity under the current conditions set by the equation. For instance, in the equation 2x + 3 = 7, both sides of the equation represent the same quantity when x is solved correctly – specifically when x equals 2.

The concept of equivalence is foundational in algebra and is crucial for solving problems, as it allows us to manipulate one side of the equation, aiming to discover the value of the variable that makes the equation true.

While other options discuss different mathematical concepts, only the first option accurately captures the essence of what an equation represents in mathematics.