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