The general form of linear equation consisting of one variable can be written as where is the only variable and are real numbers.

Let's suppose I want to find value of from the equation

It means that I will have to eliminate **b** from the left hand side and also have to eliminate **a** from the left hand side. Doing so, I will be left with just on the left hand side and whatever would be present on the right hand side at that time would be the value of (Solution of equation).

To eliminate **a and b** from , we do the following:

**(Step 1)** Subtract **b** from both the sides, we get

**(Step 2) ** Now divide both the sides by **a**, we get

So, this is the value of or the solution of given linear equation.

Now, take an example. I have linear equation:

**What is the solution of this linear equation?**

To solve it, we just need to follow the same process. I will eliminate **2 and -5** from the left hand side.

**(Step 1)** Adding 5 to both the sides, we get

**(Step 2)** Dividing both the sides by 2, we get

**(This is the solution)**

Let's do **2nd **example now, I have equation:

**(Step 1)** Adding 6 to both sides, we get

**(Step 2)** Dividing both sides by -2, we get

**(This is the solution)**

Take **3rd** example now which is relatively more complex. I have equation:

**(Step 1)** Subtracting from both the sides, we get

**(Step 2)** Multiplying both the sides by , we get

**(This is the solution)**

Take **4th** example now, which is relatively easier than **3rd** example. It will help you in understanding **3rd** example if you could not understand it. Let's suppose, I have equation:

**(Step 1)** Subtracting 7 from both the sides, we get

**(Step 2)** Multiplying both the sides by **3**, we get

**(This is the solution)**

Equations can be more complex than the examples that we just covered but the overall process remains the same. Let's consider equation:

**(Step 1)** Subtracting **4** from both the sides, we get

Note that we have two terms here consisting of . So, we have to combine them in order to find solution.

**(Step 2)** Subtracting from both the sides, we get

**(At this step, you should know how to add or subtract fractions)**

**(Step 3)** Multiplying both the sides by 4, we get