Linear Equation in One Variable

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Linear equation in one variable is a statement of equality that involves only one variable
( unknown numbers).



Any value of the variable that satisfies the given equation is called a Solution or root of the equation.
Rules for solving equation in One Variable

1) Add the same number on both sides of the equation.
2) Subtract the same number from both sides of the equation.
3) Multiply both sides of the equation by the same non-zero number.
4) Divide both sides of the equation by the same non-zero number.
These rules are applied in such a way that on one side there should be only a variable.
The equality symbol (=) in the equation remains unchanged.

Note : In solving linear equations, we have to use a opposite operations.
x + 5 = 12
As there is + 5 so use opposite
operation and add -5 on both sides.
x + 5 = 12
- 5 = - 5
--------------------
x = 7
Check : For x = 7;
Left side = 7 + 5 = 12 = Right side

 x - 5 = 12
As there is - 5 so use opposite
operation and add +5 on both sides.
x - 5 = 12
+ 5 = + 5
--------------------
x = 17
Check : For x = 17;
Left side = 17 - 5 = 12 = Right side
4m = 16
As there is 4 times m so divide both
side by 4.
4m 16
---- = -----
4 4
m = 4
Check : For m = 4 ;
Left side = 4 x 4 = 16 = Right side.		 m
----- = 16
4
As there is m over 4 (division) So multiply both side by 4
m
4 x ------ = 16 x 4
4
m = 64
Check : For m = 64
Left side = 64 / 4 = 16 = Right side

Linear Equation in One Variable

• Linear Equation in One Variable
• Algebraic Equations with Fractions
• Algebra Word Problems
• Algebra Rate (upstream and downstream) Problems
• Algebra Age Problems
• Algebra Digit Problems

7th grade math
8th grade math
Home Page

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.