**Important Concepts and Formulas on Linear Equations**

1. An equation is a statement of
equality between two expressions.

2. An equation has two sides separated
by the symbol (=). The two sides are LHS and RHS.

3. The value of the variable, which
makes both sides of the equation same is called the solution of the equation.
For example, x = 3 is the solution of equation 4x – 5 = 7.

4. If LHS and RHS are interchanged, the
equation remains the same.

5. There are different methods for
finding the solution of an equation. To solve an equation in one variable, we
can

·
add
the same number to both sides.

·
subtract
the same number from both sides.

·
multiply
both sides by the same number.

·
divide
both sides by the same (non-zero) number.

6. The concept of algebraic equation can
be utilized to solve problems related to real-life situations.

7. To solve an equation, we carry out a
series of identical mathematical operations on two sides of the equation such
that the unknown variable is on one side and its value is obtained on the other
side.

8. When we transpose a number from one
side of the equation to the other side, we change its sign.