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Created By : Vaibhavi Kumari

Reviewed By : Rajashekhar Valipishetty

Last Updated : Oct 10, 2023


Enter the linear equation in the input field and tap the calculate button present in the online tool of Linear Equations in One Variable Calculator. Instantly, it calculates the equation and generates accurate results in no time. 

What is meant by Linear Equations in One Variable?

A linear equation having only one variable with the degree of one is called a linear equation in one variable. The solution for the form of a linear equation in one variable is the value of the variable. 

If we consider the example of Linear Equation in One Variable 5x+20=45 then the solution is x = 5. If we draw the equation graphically then it appears as a straight line in the vertical or horizontal direction. 

How to Solve Linear Equations in One Variable?

The step-by-step process of solving Linear Equations in One Variable is given here. Follow the steps carefully and learn manually to solve the equation:

  • First, rearrange the equation by placing the constant terms on one side and the terms of the variable on another side by using arithmetic operations on both sides of the equation.
  • Solve the calculations and eliminate the constants. 
  • Separate the variable on one side by dividing or multiplying on both sides of the equation.
  • Simply calculate and find the value of the variable. 

Example: 

Solve linear equation of 5 + 2x - 9x = 6

Solution: 

Given equation is 5 + 2x - 9x = 6

Subtract 5 on both sides of the equation

2x - 9x = 6 - 5

Simply the equation

-7x = 1

Divide both sides of the equation by 7 

-7x/7 = 1/7

Simply the equation

-x = 1/7

Hence, x = -1/7

FAQs on Solving Linear Equations with One Variable

1. What is the Standard Form of a Linear Equation in One Variable?

ax+b=0 is the standard form of a Linear Equation in One Variable. Here, a is the coefficient of x and b is the constant term. 

2. What are the examples of statements for Linear Equations in One Variable? 

The following are some of the examples of expressions that can be solved using the Linear Equation in One Variable online tool:

  1. 4(x-4) = 4x-8
  2. x+5 = 10
  3. 2x-6 = 5x+10

3. How to solve linear equations in one variable problem easily? 

You can solve linear equations in one variable question with ease by using online tools like linear equations in one variable calculator.

4. How to use linear equations in one variable calculator with steps? 

The steps that should be followed while finding the variable of the given equation using the calculator are as listed:

  1. Enter the coefficients of the linear equations in the input fields. 
  2. Click on the calculate button to simplify the given equation.
  3. Immediately, it calculates the variable value (x) of the linear equations and displays the step-by-step solution in the output field. 

5. Can I find a free online calculator to solve linear equations in one variable? 

Yes, you can easily find the online calculator to solve linear equations in one variable for free of cost from the web portal ie., Linearequationscalculator.com