# Simple Equation : Framing

Lets start with** “What is an equation ?” **

It is a statement in which two algebraic expressions are equal.

e.g.

So, **What is a “Linear equation” or Simple Equation”?**

An equation of the first order (i.e. highest power of the variable is 1), i called as linear equation or a simple equation.

e.g. 4x-11 = 5

3x+4y = 5

**What is a “Linear equation in one variable”?**

It is represented by px+q = 0 where ‘x’ is the variable and ‘p’ & ‘q’ are real numbers (p=/=0).

e.g. 4x-11 = 5

Note: A linear equation in one variable will always give a unique solution.

Now** “How to solve a simple equation?”**

Step 1: Remove any brackets on both sides.

Step 2: Simplify both sides as far as possible.

Step 3a: Transpose all the terms containing ‘variable’ on the left hand side & the remaining terms on right hand side.

Step 3b: If required add/subtract same number to/from both sides of the equation. Similarly you can multiply/divide same number to both sides of the equation.

Lets solve some of the Linear equation in one variable using above steps:

i.)

3x+6x-4 = 14

9x = 18

x = 2

ii.)

2x-10 +24x = 18 +3x-12

23x = 16

x = 16/23