The linear equation, also known as **simple equation**is one of the most important topics in algebra and needs our full attention. here we present **examples of equations** with step-by-step solutions where you will learn how to solve them. You will see how easy it is!

**Examples of Equations**

**1. ****Solve the equation: x+ 2 = 15**

Solving an equation means finding the value of the unknown, in this case it is “x”, for this you always have to solve it, that is, leave the unknown “x” on the first member, preferably.

We solve the equation in the following way.

x + 2 = 15

We clear +2, sending it to the second member, like this:

x = 15 – 2

Note that when sending some term to a member, it is passed with a changed sign; therefore, the +2 passed to the right or second member as -2

Solving:

**∴ x = 13**

It was easy right? Let’s see other examples and we increase the difficulty.

**2. ****Solve the equation:**

We are going to clear “x”, where the first thing we will do is reduce the equation; So:

We pass -3 to the second member:

Now, we pass the numerator “5” to the other member multiplying; So:

**x – 3 = 5(10)**

Then, we pass “–3” to the middle member and we have:

**x = 50 + 3**

Solving:

**∴ x = 53**

**3. Solve the following equation:**

To eliminate the fractions in this equation, we must cross-multiply the numerator with the denominator, like this:

We multiply in each member:

**2x – 14 = 3x – 15**

Solving:

**∴x = 1**

**4. If four times a number, decreased by 10, is equal to twice the number, increased by 20, find that number.**

This is an example with a linear equation statement. Watch how it’s done.

So, considering the exercise according to the data:

4x – 10 = 2x + 20

Solving:

4x – 2x = 20 + 10

⇒ 2x = 30

⇒ x = 15

Therefore, said number is fifteen (15).

**5. The ages of Rodrigo and Andrea add up to 35, if Rodrigo is 19 years old, how old will Andrea be in 5 years?**

Rodrigo’s age = 19 years

Andrea’s age = x years

I propose:

x + 19 = 35

⇒ x = 35 -19 = 16

So Andrea is 16 years old.

In 5 years:

** Andrea will be = 16 + 5 = 21 years old**