# How do you solve #1/4x-5/2=-2#?

##### 1 Answer

x=2

#### Explanation:

In order to solve for the unknown value x, it is important to do the following:

Move the **Remember to change the sign on the other side of the equation.**

Reason: x value needs to stay on its own, because to solve the equation it is needed to solve for x and therefore it is possible to do it by solving first all the known values.

Now it should be present on the right side of the equation the following:

In this second step, this side will be calculated and since there is

Since we just calculated the LCD, it is possible to solve the expression:

-2 has to be multiplied by two because, it is important to have the same denominator, while 5 will stay the same because it has already 2 as denominator.

Expression should end up with the following=

The equation should be now:

Now it is needed to multiply each side by 4, because we want to get rid of the

which is equal to: x=

The result you will get is x=2.

In order to test the result, you can substitute the value of x with 2 and both sides of the equation should end up with:

```
#-2=-2#
```