LESSON 3: Our main goal : The 'x' by its own
 Introduction to Elementary AlgebraHelp on solving algebra math problemsSimple step by step method
Case 1.

Let’s say we were given this statement
As 5 divided by 5 is equal to 1 both fives disappear.

The result is that we keep the x alone, as we wanted.

Case 3.

Another example follows: How can we get rid of the 3 so we keep only the x?

Well, if the number 3 is multiplying by x … we simply divide by 3 to get Because 3 divided by 3 is equal to 1 we get x alone. Case 2.

Now let’s say we were given this statement How can we get rid of the 5 so we keep only the x?

The x is being divided by 5. In this case we multiply also by 5.  How can we get rid of the 7 so we keep only the x?

The x is being added 7 units so we make just the opposite: we subtract 7 units. Because 7 – 7 is equal to zero both sevens disappear.

The x alone again.

Case 4.

This next example might seem difficult but it is actually very
simple Well, ‘x’ is being multiplied by 7/3. We must take the necessary action to
make the 7/3 disappear.

We ask ourselves: What is the opposite of 7/3?

Let’s do it Because 3/7 multiplied by 7/3 is equal to 1 we keep only the ‘x’.

What we just made is the same as dividing 7/3 by 7/3 which could also be
done and is also equal to 1. Again we are using the opposite operation.

Case 5.

Last example: How can we get rid of the -2 so we keep only the x?

The x is being subtracted 2 units so we make just the opposite: we add 2 units. Because -2 + 2 is equal to zero both 'twos' disappear.

The x is alone again.

What we did in all 4 cases was simply using the
opposite operations using the same
numbers that were near the x.