# Introduction to Algebra: The Basics

## Essential points to keep in mind while learning Algebra

- Get yourself acquainted with the concept of negative numbers. Always remember that in case of negative numbers, the higher the magnitude, the smaller is the number.
- Always use a new line for a new stage while solving the algebraic equation. This will avoid a lot of confusion.
- While solving the algebraic equation, use the mathematical operations according to a specific priority order given by the acronym: PEMDAS, where,P: Parenthesis, E: Exponents, M: Multiplication, D: Division, A: Addition,S: Subtraction.

**To understand the importance of this priority order, let’s solve a problem:Solve: 9+4×5**

## How to Use Negative numbers?

- If you add two negative numbers together, the result will be a more negative number.
- If you multiply or divide two negative numbers, it will always lead to a positive answer.
- If you multiply or divide a positive and a negative number, it will lead to a negative answer.
- Subtracting a negative number is the same as adding a positive number.

## Understanding what variables are and how to work with them

**It is, in fact, very easy!**

## How to solve Complex Equations

Example: x+15= 6x + 101

Bringing all the variables on the right-hand side performing a mathematical operation of subtraction will give:

**Step 1:** 15-101 = 6x-x (Note: Due to the movement on the other side sign changes as discussed before)

**Step 2:** -86 = 5x (Performing simple mathematical operation of subtraction)

**Step 3:** : -86/5 = x (When the coefficient of the variable is shifted to the other side, it acts as the denominator on the other side)

**Step 4:** : -17.2 (When -86 is divided by 5 we obtain the final value of our variable)

It is also important to note that in algebra, the variable can be on either side of the equals sign. There is no rule which states that the ‘x’ (variable) must be on the left-hand side.

## Some more tips to strengthen your skills

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