The value of the variable in an equation which makes the LHS and RHS equal is called the solution or root of the equation.


An equation is a mathematical statement that shows the equality between two expressions. It consists of an equal sign (=) between the left-hand side (LHS) and the right-hand side (RHS) of the equation. The LHS represents one expression, and the RHS represents another expression.


The solution or root of an equation is the value of the variable that satisfies the equation, making both the LHS and RHS equal. In other words, it is the value that makes the equation true. A solution can be a single value or a set of values, depending on the nature of the equation.


To find the solution(s) of an equation, one needs to isolate the variable on one side of the equation and simplify the other side. This can be done by performing various operations such as addition, subtraction, multiplication, and division to both sides of the equation. By doing so, the equation is transformed into an equivalent equation with the variable isolated.


Let's consider the equation: 2x + 5 = 15. To find the value of x that satisfies this equation, we can follow these steps:

1. Subtract 5 from both sides of the equation:
2x + 5 - 5 = 15 - 5
2x = 10

2. Divide both sides of the equation by 2:
2x/2 = 10/2
x = 5

Therefore, the solution to the equation 2x + 5 = 15 is x = 5.


The value of the variable in an equation that makes the LHS and RHS equal is called the solution or root of the equation. Finding the solution involves manipulating the equation to isolate the variable and determine its value. By solving equations, we can solve real-life problems and explore the relationships between different quantities.