Linear Equation in One Variable
Linear equations in one variable are algebraic expressions that involve one variable raised to the power of 1. These equations can be represented in the form ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable.

Characteristics of Linear Equations in One Variable
- Linear equations in one variable have a degree of 1.
- The graph of a linear equation in one variable is a straight line.
- Solutions to linear equations in one variable can be found by isolating the variable on one side of the equation.

Solving Linear Equations in One Variable
To solve a linear equation in one variable, follow these steps:
1. Simplify both sides of the equation by combining like terms.
2. Move all terms containing the variable to one side of the equation and constants to the other side using inverse operations.
3. Combine like terms on each side of the equation.
4. Divide by the coefficient of the variable to isolate the variable.

Example
Consider the linear equation 2x - 5 = 7. To solve for 'x', follow these steps:
1. Add 5 to both sides to get 2x = 12.
2. Divide by 2 on both sides to get x = 6.
3. The solution to the linear equation is x = 6.

Applications of Linear Equations in One Variable
Linear equations in one variable are commonly used in various real-life scenarios such as calculating distance, time, speed, and cost. They serve as a fundamental concept in algebra and are essential for problem-solving in mathematics and other fields.