Second Step Equations Examples

In second step equations example, we need to do two steps to obtain the value of the unknown.

For example: The given equation is 3x + 7 = 16.

So the step1 is to isolate the term with the unknown in the equation. For that purpose we subtract 7 on both sides as follows:

3x + 7 – 7 = 16 – 7

Since 7 and -7 cancels each other, we get 3x = 9. This is the completion of step1.

In the second step we need to take the value, that is, in the unknown term, remove the 3 by dividing both sides by 3 as follows:

`(3x)/3 = 9/3`

This implies, x = 3. This is the completion of the second as well us the final step to get the value of the unknown.

Hence the value of x =3 is the answer.

I believe, by now you would have got the concept of simplifying the equation which needs two steps to solve to get the value the unknown.

Now let see few problems on this topic second step equations examples.
Example Problems on Second Step Equations Examples

Ex 1: What is the value of x in the equation 4x + 9 = 29?

Soln: Given: 4x + 9 = 29 ----------(1)

Step1: Subtract 9 on both sides, we get 4x + 9 – 9 = 29 – 9

4x = 20

Step2: Divide both sides by 4, we get:  `(4x)/4 = 20/4`

x = 5.

Therefore the value of x = 5.

Ex 2: What is the value of x in the equation 5x - 9 = 26?

Soln: Given: 5x - 9 = 26 ----------(1)

Step1: Add 9 on both sides, we get 5x - 9 + 9 = 26 + 9

5x = 35

Step2: Divide both sides by 5, we get:  `(5x)/5 = 35/5`

x = 7.

Therefore the value of x = 7.

Ex 3: What is the value of x in the equation -6x - 10 = 26?

Soln: Given: -6x - 10 = 26----------(1)

Step1: Add 10 on both sides, we get -6x - 10 + 10 = 26 + 10

-6x = 36

Step2: Divide both sides by -6, we get:  `(-6x)/-6 = 36/-6`

x = -6.

Therefore the value of x = -6.
Practice Problems on Second Step Equations Examples

1. What is the value of x in the equation 7x - 15 = 20?

[Ans: x = 5]

2. Evaluate the value of x from the equation 11x – 17 = 16.

[Ans: x = 3]

3. Find the value of x in the equation 12x + 25 = -23.

[Ans: x = -4]