# One-step equations

It is valid:

• if , then :

(1)

• if , then :

(2)

•  if  and

(3)

One-step equations is equations in form and that can be solved in a single step.  We must find the value of the unknown variable (named in our case).

To find out the value of the unknown number in the example above, we need to get the equation in form of

.

Now, we will subtracting the number from both sides of t0he equality. It should look like this:

We use properties (1).

The value of our variable is number .

Here is another example of a one step equation, but this one includes subtraction:

Now, we will do the same operations like in previous examine:

We use properties (1).

The result is .

The one-step equations can also contain multiplication or division. A one-step equation with multiplication can be solved by dividing both sides of the equation with the coefficient, which is the number that is multiplied by

.

This example has been solved by dividing both sides of the equality with number . We use properties (2).

The result is .

A one-step equation that includes division can be solved in similar way. We just need to multiply both sides of the equality with the number that divides .

In the example above, we need to multiply both sides by number . We use properties (2).

When we solve the equation, we see that the value of the variable is .

So, this is basically it for the one-step equations. If you want, you can follow the link to the other lessons, such as the one on two-step equations.

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