Table of contents  
Algebraic Equation  
What is Linear Equation in One Variable  
Important Formulas  
Important Points to Note  
How to Solve Linear Equation in One Variable 
Example: Consider the linear equation in one variable: 4x+6=14
Can you tell what is the number that should replace ‘x’ so that the given equation results in a true statement?
The linear equation will result in a true statement when the value of ‘x’ is 2.
4∗2+6=8+6=14
The linear equation will not result in a true statement if the value of ‘x’ is taken other than 2. Thus, the given equation 4x + 6 = 14 results in a true statement only when ‘x’ is replaced by 2. In this case, we call the number 2, the root or the solution of equation 4x + 6 = 14.
Graph: Linear Equation in One Variable
Standard form of linear equations in one variable is written as ax+b=0, (a is not equal to zero) where x is the one variable while a and b are any real numbers.
Rule 1: Adding the same number (positive or negative) to both sides of an equation, then the resulting equation will be equivalent to the original equation.
Rule 2: Multiplying or dividing both sides of an equation by the same nonzero number, then the resulting equation will be equivalent to the original equation.
Rule 3: Transposing a term from one side to the other side of the equation, then the resulting equation will be equivalent to the original equation, but remember that the sign of the transposed term changes.
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1. What is a linear equation in one variable? 
2. What are the important formulas for solving linear equations in one variable? 
3. What are the important points to note when solving linear equations in one variable? 
4. How can I solve a linear equation in one variable? 
5. What is the importance of linear equations in one variable? 

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